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Simplifying 7 + 9(-6y + 5) = -5(7y + -6 + 2) Reorder the terms: 7 + 9(5 + -6y) = -5(7y + -6 + 2) 7 + (5 * 9 + -6y * 9) = -5(7y + -6 + 2) 7 + (45 + -54y) = -5(7y + -6 + 2) Combine like terms: 7 + 45 = 52 52 + -54y = -5(7y + -6 + 2) Reorder the terms: 52 + -54y = -5(-6 + 2 + 7y) Combine like terms: -6 + 2 = -4 52 + -54y = -5(-4 + 7y) 52 + -54y = (-4 * -5 + 7y * -5) 52 + -54y = (20 + -35y) Solving 52 + -54y = 20 + -35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35y' to each side of the equation. 52 + -54y + 35y = 20 + -35y + 35y Combine like terms: -54y + 35y = -19y 52 + -19y = 20 + -35y + 35y Combine like terms: -35y + 35y = 0 52 + -19y = 20 + 0 52 + -19y = 20 Add '-52' to each side of the equation. 52 + -52 + -19y = 20 + -52 Combine like terms: 52 + -52 = 0 0 + -19y = 20 + -52 -19y = 20 + -52 Combine like terms: 20 + -52 = -32 -19y = -32 Divide each side by '-19'. y = 1.684210526 Simplifying y = 1.684210526
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