3y+2=2y-5x

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Solution for 3y+2=2y-5x equation:


Simplifying
3y + 2 = 2y + -5x

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

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

Solving
2 + 3y = -5x + 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 + 3y + -2y = -5x + 2y + -2y

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

Combine like terms: 2y + -2y = 0
2 + 1y = -5x + 0
2 + 1y = -5x

Add '-2' to each side of the equation.
2 + -2 + 1y = -2 + -5x

Combine like terms: 2 + -2 = 0
0 + 1y = -2 + -5x
1y = -2 + -5x

Divide each side by '1'.
y = -2 + -5x

Simplifying
y = -2 + -5x

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