Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
y=32
Alternative Form
y=0.6˙
Evaluate
15(y−4)−2(y−9)+5(y+6)=0
Calculate the sum or difference
More Steps
Evaluate
15(y−4)−2(y−9)+5(y+6)
Expand the expression
More Steps
Calculate
15(y−4)
Apply the distributive property
15y−15×4
Multiply the numbers
15y−60
15y−60−2(y−9)+5(y+6)
Expand the expression
More Steps
Calculate
−2(y−9)
Apply the distributive property
−2y−(−2×9)
Multiply the numbers
−2y−(−18)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2y+18
15y−60−2y+18+5(y+6)
Expand the expression
More Steps
Calculate
5(y+6)
Apply the distributive property
5y+5×6
Multiply the numbers
5y+30
15y−60−2y+18+5y+30
Calculate the sum or difference
More Steps
Evaluate
15y−2y+5y
Collect like terms by calculating the sum or difference of their coefficients
(15−2+5)y
Calculate the sum or difference
18y
18y−60+18+30
Add the numbers
18y−12
18y−12=0
Move the constant to the right-hand side and change its sign
18y=0+12
Removing 0 doesn't change the value,so remove it from the expression
18y=12
Divide both sides
1818y=1812
Divide the numbers
y=1812
Solution
y=32
Alternative Form
y=0.6˙
Show Solution
Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
3y=2
Evaluate
15(y−4)−2(y−9)+5(y+6)=0
Evaluate
More Steps
Evaluate
15(y−4)−2(y−9)+5(y+6)
Expand the expression
More Steps
Calculate
15(y−4)
Apply the distributive property
15y−15×4
Multiply the numbers
15y−60
15y−60−2(y−9)+5(y+6)
Expand the expression
More Steps
Calculate
−2(y−9)
Apply the distributive property
−2y−(−2×9)
Multiply the numbers
−2y−(−18)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2y+18
15y−60−2y+18+5(y+6)
Expand the expression
More Steps
Calculate
5(y+6)
Apply the distributive property
5y+5×6
Multiply the numbers
5y+30
15y−60−2y+18+5y+30
Calculate the sum or difference
More Steps
Evaluate
15y−2y+5y
Collect like terms by calculating the sum or difference of their coefficients
(15−2+5)y
Calculate the sum or difference
18y
18y−60+18+30
Add the numbers
18y−12
18y−12=0
Move the constant to the right side
18y=12
Solution
3y=2
Show Solution
Graph
