3y-2(2y+1)=-3-2(2-y)

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


Simplifying
3y + -2(2y + 1) = -3 + -2(2 + -1y)

Reorder the terms:
3y + -2(1 + 2y) = -3 + -2(2 + -1y)
3y + (1 * -2 + 2y * -2) = -3 + -2(2 + -1y)
3y + (-2 + -4y) = -3 + -2(2 + -1y)

Reorder the terms:
-2 + 3y + -4y = -3 + -2(2 + -1y)

Combine like terms: 3y + -4y = -1y
-2 + -1y = -3 + -2(2 + -1y)
-2 + -1y = -3 + (2 * -2 + -1y * -2)
-2 + -1y = -3 + (-4 + 2y)

Combine like terms: -3 + -4 = -7
-2 + -1y = -7 + 2y

Solving
-2 + -1y = -7 + 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.
-2 + -1y + -2y = -7 + 2y + -2y

Combine like terms: -1y + -2y = -3y
-2 + -3y = -7 + 2y + -2y

Combine like terms: 2y + -2y = 0
-2 + -3y = -7 + 0
-2 + -3y = -7

Add '2' to each side of the equation.
-2 + 2 + -3y = -7 + 2

Combine like terms: -2 + 2 = 0
0 + -3y = -7 + 2
-3y = -7 + 2

Combine like terms: -7 + 2 = -5
-3y = -5

Divide each side by '-3'.
y = 1.666666667

Simplifying
y = 1.666666667

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