2y+2(y-2)=5y-3

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


Simplifying
2y + 2(y + -2) = 5y + -3

Reorder the terms:
2y + 2(-2 + y) = 5y + -3
2y + (-2 * 2 + y * 2) = 5y + -3
2y + (-4 + 2y) = 5y + -3

Reorder the terms:
-4 + 2y + 2y = 5y + -3

Combine like terms: 2y + 2y = 4y
-4 + 4y = 5y + -3

Reorder the terms:
-4 + 4y = -3 + 5y

Solving
-4 + 4y = -3 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-4 + 4y + -5y = -3 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-4 + -1y = -3 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4 + -1y = -3 + 0
-4 + -1y = -3

Add '4' to each side of the equation.
-4 + 4 + -1y = -3 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = -3 + 4
-1y = -3 + 4

Combine like terms: -3 + 4 = 1
-1y = 1

Divide each side by '-1'.
y = -1

Simplifying
y = -1

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