2(y+1)+4(y-5)=12

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Solution for 2(y+1)+4(y-5)=12 equation: 


Simplifying
2(y + 1) + 4(y + -5) = 12

Reorder the terms:
2(1 + y) + 4(y + -5) = 12
(1 * 2 + y * 2) + 4(y + -5) = 12
(2 + 2y) + 4(y + -5) = 12

Reorder the terms:
2 + 2y + 4(-5 + y) = 12
2 + 2y + (-5 * 4 + y * 4) = 12
2 + 2y + (-20 + 4y) = 12

Reorder the terms:
2 + -20 + 2y + 4y = 12

Combine like terms: 2 + -20 = -18
-18 + 2y + 4y = 12

Combine like terms: 2y + 4y = 6y
-18 + 6y = 12

Solving
-18 + 6y = 12

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + 6y = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 6y = 12 + 18
6y = 12 + 18

Combine like terms: 12 + 18 = 30
6y = 30

Divide each side by '6'.
y = 5

Simplifying
y = 5

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