Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
y=15
Evaluate
3(y−5)−2(y−4)=8
Move the expression to the left side
3(y−5)−2(y−4)−8=0
Subtract the terms
More Steps
Evaluate
−2(y−4)−8
Rewrite the expression
−2y+8−8
Since two opposites add up to 0,remove them form the expression
−2y
3(y−5)−2y=0
Calculate
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Evaluate
3(y−5)−2y
Expand the expression
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Calculate
3(y−5)
Apply the distributive property
3y−3×5
Multiply the numbers
3y−15
3y−15−2y
Subtract the terms
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Evaluate
3y−2y
Collect like terms by calculating the sum or difference of their coefficients
(3−2)y
Subtract the numbers
y
y−15
y−15=0
Move the constant to the right-hand side and change its sign
y=0+15
Solution
y=15
Show Solution
Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
y=15
Evaluate
3(y−5)−2(y−4)=8
Evaluate
More Steps
Evaluate
3(y−5)−2(y−4)
Expand the expression
More Steps
Calculate
3(y−5)
Apply the distributive property
3y−3×5
Multiply the numbers
3y−15
3y−15−2(y−4)
Expand the expression
More Steps
Calculate
−2(y−4)
Apply the distributive property
−2y−(−2×4)
Multiply the numbers
−2y−(−8)
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+8
3y−15−2y+8
Subtract the terms
More Steps
Evaluate
3y−2y
Collect like terms by calculating the sum or difference of their coefficients
(3−2)y
Subtract the numbers
y
y−15+8
Add the numbers
y−7
y−7=8
Solution
y=15
Show Solution
Graph
