2y+5=3x-2

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


Simplifying
2y + 5 = 3x + -2

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

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

Solving
5 + 2y = -2 + 3x

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + 2y = -2 + -5 + 3x

Combine like terms: 5 + -5 = 0
0 + 2y = -2 + -5 + 3x
2y = -2 + -5 + 3x

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

Divide each side by '2'.
y = -3.5 + 1.5x

Simplifying
y = -3.5 + 1.5x

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