12y-5(1+y)=3(2y-2)+20

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Solution for 12y-5(1+y)=3(2y-2)+20 equation:


Simplifying
12y + -5(1 + y) = 3(2y + -2) + 20
12y + (1 * -5 + y * -5) = 3(2y + -2) + 20
12y + (-5 + -5y) = 3(2y + -2) + 20

Reorder the terms:
-5 + 12y + -5y = 3(2y + -2) + 20

Combine like terms: 12y + -5y = 7y
-5 + 7y = 3(2y + -2) + 20

Reorder the terms:
-5 + 7y = 3(-2 + 2y) + 20
-5 + 7y = (-2 * 3 + 2y * 3) + 20
-5 + 7y = (-6 + 6y) + 20

Reorder the terms:
-5 + 7y = -6 + 20 + 6y

Combine like terms: -6 + 20 = 14
-5 + 7y = 14 + 6y

Solving
-5 + 7y = 14 + 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.
-5 + 7y + -6y = 14 + 6y + -6y

Combine like terms: 7y + -6y = 1y
-5 + 1y = 14 + 6y + -6y

Combine like terms: 6y + -6y = 0
-5 + 1y = 14 + 0
-5 + 1y = 14

Add '5' to each side of the equation.
-5 + 5 + 1y = 14 + 5

Combine like terms: -5 + 5 = 0
0 + 1y = 14 + 5
1y = 14 + 5

Combine like terms: 14 + 5 = 19
1y = 19

Divide each side by '1'.
y = 19

Simplifying
y = 19

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