8-2y=-7(x-2)-5

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Solution for 8-2y=-7(x-2)-5 equation:


Simplifying
8 + -2y = -7(x + -2) + -5

Reorder the terms:
8 + -2y = -7(-2 + x) + -5
8 + -2y = (-2 * -7 + x * -7) + -5
8 + -2y = (14 + -7x) + -5

Reorder the terms:
8 + -2y = 14 + -5 + -7x

Combine like terms: 14 + -5 = 9
8 + -2y = 9 + -7x

Solving
8 + -2y = 9 + -7x

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + -2y = 9 + -8 + -7x

Combine like terms: 8 + -8 = 0
0 + -2y = 9 + -8 + -7x
-2y = 9 + -8 + -7x

Combine like terms: 9 + -8 = 1
-2y = 1 + -7x

Divide each side by '-2'.
y = -0.5 + 3.5x

Simplifying
y = -0.5 + 3.5x

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