Question
Solve the equation
y=2
Evaluate
2(3y−4)=3(y−32)
Multiply the terms
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Evaluate
3(y−32)
Apply the distributive property
3y−3×32
Multiply the numbers
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Evaluate
3×32
Reduce the numbers
1×2
Simplify
2
3y−2
2(3y−4)=3y−2
Expand the expression
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Evaluate
2(3y−4)
Apply the distributive property
2×3y−2×4
Multiply the numbers
6y−2×4
Multiply the numbers
6y−8
6y−8=3y−2
Move the expression to the left side
6y−8−3y=−2
Move the expression to the right side
6y−3y=−2+8
Add and subtract
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Evaluate
6y−3y
Collect like terms by calculating the sum or difference of their coefficients
(6−3)y
Subtract the numbers
3y
3y=−2+8
Add and subtract
3y=6
Divide both sides
33y=36
Divide the numbers
y=36
Solution
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Evaluate
36
Reduce the numbers
12
Calculate
2
y=2
Show Solution

Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
y=2
Evaluate
2(3y−4)=3(y−32)
Evaluate
More Steps

Evaluate
3(y−32)
Apply the distributive property
3y−3×32
Multiply the numbers
More Steps

Evaluate
3×32
Reduce the numbers
1×2
Simplify
2
3y−2
2(3y−4)=3y−2
Multiply
More Steps

Evaluate
2(3y−4)
Apply the distributive property
2×3y−2×4
Multiply the numbers
6y−2×4
Multiply the numbers
6y−8
6y−8=3y−2
Move the variable to the left side
3y−8=−2
Move the constant to the right side
3y=6
Solution
y=2
Show Solution
