Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
y=−64
Evaluate
3(8−3y)=32−8(y−7)
Calculate
More Steps
Evaluate
3(8−3y)
Apply the distributive property
3×8−3×3y
Multiply the numbers
24−3×3y
Multiply the numbers
24−9y
24−9y=32−8(y−7)
Calculate
More Steps
Evaluate
32−8(y−7)
Expand the expression
More Steps
Calculate
−8(y−7)
Apply the distributive property
−8y−(−8×7)
Multiply the numbers
−8y−(−56)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−8y+56
32−8y+56
Add the numbers
88−8y
24−9y=88−8y
Move the expression to the left side
24−9y−(88−8y)=0
Calculate
More Steps
Add the terms
24−9y−(88−8y)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
24−9y−88+8y
Subtract the numbers
−64−9y+8y
Add the terms
More Steps
Evaluate
−9y+8y
Collect like terms by calculating the sum or difference of their coefficients
(−9+8)y
Add the numbers
−y
−64−y
−64−y=0
Move the constant to the right-hand side and change its sign
−y=0+64
Removing 0 doesn't change the value,so remove it from the expression
−y=64
Solution
y=−64
Show Solution
Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
y=−64
Evaluate
3(8−3y)=32−8(y−7)
Evaluate
More Steps
Evaluate
32−8(y−7)
Expand the expression
More Steps
Calculate
−8(y−7)
Apply the distributive property
−8y−(−8×7)
Multiply the numbers
−8y−(−56)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−8y+56
32−8y+56
Add the numbers
88−8y
3(8−3y)=88−8y
Multiply
More Steps
Evaluate
3(8−3y)
Apply the distributive property
3×8−3×3y
Multiply the numbers
24−3×3y
Multiply the numbers
24−9y
24−9y=88−8y
Move the variable to the left side
24−y=88
Move the constant to the right side
−y=64
Solution
y=−64
Show Solution
Graph
