4(y+1)-2(y+8)=y-y

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Solution for 4(y+1)-2(y+8)=y-y equation:


Simplifying
4(y + 1) + -2(y + 8) = y + -1y

Reorder the terms:
4(1 + y) + -2(y + 8) = y + -1y
(1 * 4 + y * 4) + -2(y + 8) = y + -1y
(4 + 4y) + -2(y + 8) = y + -1y

Reorder the terms:
4 + 4y + -2(8 + y) = y + -1y
4 + 4y + (8 * -2 + y * -2) = y + -1y
4 + 4y + (-16 + -2y) = y + -1y

Reorder the terms:
4 + -16 + 4y + -2y = y + -1y

Combine like terms: 4 + -16 = -12
-12 + 4y + -2y = y + -1y

Combine like terms: 4y + -2y = 2y
-12 + 2y = y + -1y

Combine like terms: y + -1y = 0
-12 + 2y = 0

Solving
-12 + 2y = 0

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 2y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 2y = 0 + 12
2y = 0 + 12

Combine like terms: 0 + 12 = 12
2y = 12

Divide each side by '2'.
y = 6

Simplifying
y = 6

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