2y+7=3x-2

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Solution for 2y+7=3x-2 equation:


Simplifying
2y + 7 = 3x + -2

Reorder the terms:
7 + 2y = 3x + -2

Reorder the terms:
7 + 2y = -2 + 3x

Solving
7 + 2y = -2 + 3x

Solving for variable 'y'.

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

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

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

Combine like terms: -2 + -7 = -9
2y = -9 + 3x

Divide each side by '2'.
y = -4.5 + 1.5x

Simplifying
y = -4.5 + 1.5x

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