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

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


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

Reorder the terms:
3 + -2y = 2(-2 + 3y) + -5y
3 + -2y = (-2 * 2 + 3y * 2) + -5y
3 + -2y = (-4 + 6y) + -5y

Combine like terms: 6y + -5y = 1y
3 + -2y = -4 + 1y

Solving
3 + -2y = -4 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
3 + -2y + -1y = -4 + 1y + -1y

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

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

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

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

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

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333

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