5(2y+2)=6-2(y-2)

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Solution for 5(2y+2)=6-2(y-2) equation:


Simplifying
5(2y + 2) = 6 + -2(y + -2)

Reorder the terms:
5(2 + 2y) = 6 + -2(y + -2)
(2 * 5 + 2y * 5) = 6 + -2(y + -2)
(10 + 10y) = 6 + -2(y + -2)

Reorder the terms:
10 + 10y = 6 + -2(-2 + y)
10 + 10y = 6 + (-2 * -2 + y * -2)
10 + 10y = 6 + (4 + -2y)

Combine like terms: 6 + 4 = 10
10 + 10y = 10 + -2y

Add '-10' to each side of the equation.
10 + -10 + 10y = 10 + -10 + -2y

Combine like terms: 10 + -10 = 0
0 + 10y = 10 + -10 + -2y
10y = 10 + -10 + -2y

Combine like terms: 10 + -10 = 0
10y = 0 + -2y
10y = -2y

Solving
10y = -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
10y + 2y = -2y + 2y

Combine like terms: 10y + 2y = 12y
12y = -2y + 2y

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

Divide each side by '12'.
y = 0

Simplifying
y = 0

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