11y-(y-7)*8=92

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Solution for 11y-(y-7)*8=92 equation:


Simplifying
11y + -1(y + -7) * 8 = 92

Reorder the terms:
11y + -1(-7 + y) * 8 = 92

Reorder the terms for easier multiplication:
11y + -1 * 8(-7 + y) = 92

Multiply -1 * 8
11y + -8(-7 + y) = 92
11y + (-7 * -8 + y * -8) = 92
11y + (56 + -8y) = 92

Reorder the terms:
56 + 11y + -8y = 92

Combine like terms: 11y + -8y = 3y
56 + 3y = 92

Solving
56 + 3y = 92

Solving for variable 'y'.

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

Add '-56' to each side of the equation.
56 + -56 + 3y = 92 + -56

Combine like terms: 56 + -56 = 0
0 + 3y = 92 + -56
3y = 92 + -56

Combine like terms: 92 + -56 = 36
3y = 36

Divide each side by '3'.
y = 12

Simplifying
y = 12

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