Question
Solve the equation
Solve for y
y=2
Evaluate
12(3+y)=5(2y+8)
Calculate
More Steps

Evaluate
12(3+y)
Apply the distributive property
12×3+12y
Multiply the numbers
36+12y
36+12y=5(2y+8)
Calculate
More Steps

Evaluate
5(2y+8)
Apply the distributive property
5×2y+5×8
Multiply the numbers
10y+5×8
Multiply the numbers
10y+40
36+12y=10y+40
Move the expression to the left side
36+12y−(10y+40)=0
Calculate the sum or difference
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Add the terms
36+12y−(10y+40)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
36+12y−10y−40
Subtract the numbers
−4+12y−10y
Subtract the terms
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Evaluate
12y−10y
Collect like terms by calculating the sum or difference of their coefficients
(12−10)y
Subtract the numbers
2y
−4+2y
−4+2y=0
Move the constant to the right-hand side and change its sign
2y=0+4
Removing 0 doesn't change the value,so remove it from the expression
2y=4
Divide both sides
22y=24
Divide the numbers
y=24
Solution
More Steps

Evaluate
24
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
12(3+y)=5(2y+8)
Multiply
More Steps

Evaluate
12(3+y)
Apply the distributive property
12×3+12y
Multiply the numbers
36+12y
36+12y=5(2y+8)
Multiply
More Steps

Evaluate
5(2y+8)
Apply the distributive property
5×2y+5×8
Multiply the numbers
10y+5×8
Multiply the numbers
10y+40
36+12y=10y+40
Move the variable to the left side
36+2y=40
Move the constant to the right side
2y=4
Solution
y=2
Show Solution