4-5[7-(6y-6)]=x

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Solution for 4-5[7-(6y-6)]=x equation:


Simplifying
4 + -5[7 + -1(6y + -6)] = x

Reorder the terms:
4 + -5[7 + -1(-6 + 6y)] = x
4 + -5[7 + (-6 * -1 + 6y * -1)] = x
4 + -5[7 + (6 + -6y)] = x

Combine like terms: 7 + 6 = 13
4 + -5[13 + -6y] = x
4 + [13 * -5 + -6y * -5] = x
4 + [-65 + 30y] = x

Combine like terms: 4 + -65 = -61
-61 + 30y = x

Solving
-61 + 30y = x

Solving for variable 'y'.

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

Add '61' to each side of the equation.
-61 + 61 + 30y = 61 + x

Combine like terms: -61 + 61 = 0
0 + 30y = 61 + x
30y = 61 + x

Divide each side by '30'.
y = 2.033333333 + 0.03333333333x

Simplifying
y = 2.033333333 + 0.03333333333x

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