3y+2=5x-2y

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


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

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 = 5y
2 + 5y = 5x + -2y + 2y

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

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

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

Divide each side by '5'.
y = -0.4 + x

Simplifying
y = -0.4 + x

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