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Simplifying 2(y + 9) + 36 = (9y + -11) + -54 Reorder the terms: 2(9 + y) + 36 = (9y + -11) + -54 (9 * 2 + y * 2) + 36 = (9y + -11) + -54 (18 + 2y) + 36 = (9y + -11) + -54 Reorder the terms: 18 + 36 + 2y = (9y + -11) + -54 Combine like terms: 18 + 36 = 54 54 + 2y = (9y + -11) + -54 Reorder the terms: 54 + 2y = (-11 + 9y) + -54 Remove parenthesis around (-11 + 9y) 54 + 2y = -11 + 9y + -54 Reorder the terms: 54 + 2y = -11 + -54 + 9y Combine like terms: -11 + -54 = -65 54 + 2y = -65 + 9y Solving 54 + 2y = -65 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 54 + 2y + -9y = -65 + 9y + -9y Combine like terms: 2y + -9y = -7y 54 + -7y = -65 + 9y + -9y Combine like terms: 9y + -9y = 0 54 + -7y = -65 + 0 54 + -7y = -65 Add '-54' to each side of the equation. 54 + -54 + -7y = -65 + -54 Combine like terms: 54 + -54 = 0 0 + -7y = -65 + -54 -7y = -65 + -54 Combine like terms: -65 + -54 = -119 -7y = -119 Divide each side by '-7'. y = 17 Simplifying y = 17
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