8y-9(9y-41)=77

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Solution for 8y-9(9y-41)=77 equation:


Simplifying
8y + -9(9y + -41) = 77

Reorder the terms:
8y + -9(-41 + 9y) = 77
8y + (-41 * -9 + 9y * -9) = 77
8y + (369 + -81y) = 77

Reorder the terms:
369 + 8y + -81y = 77

Combine like terms: 8y + -81y = -73y
369 + -73y = 77

Solving
369 + -73y = 77

Solving for variable 'y'.

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

Add '-369' to each side of the equation.
369 + -369 + -73y = 77 + -369

Combine like terms: 369 + -369 = 0
0 + -73y = 77 + -369
-73y = 77 + -369

Combine like terms: 77 + -369 = -292
-73y = -292

Divide each side by '-73'.
y = 4

Simplifying
y = 4

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