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

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


Simplifying
8y + -1(7y + -2) = x + -7

Reorder the terms:
8y + -1(-2 + 7y) = x + -7
8y + (-2 * -1 + 7y * -1) = x + -7
8y + (2 + -7y) = x + -7

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

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

Reorder the terms:
2 + 1y = -7 + x

Solving
2 + 1y = -7 + x

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 1y = -7 + -2 + x

Combine like terms: 2 + -2 = 0
0 + 1y = -7 + -2 + x
1y = -7 + -2 + x

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

Divide each side by '1'.
y = -9 + x

Simplifying
y = -9 + x

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