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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 + 7y) + 2 52 + -54y = (-6 * -5 + 7y * -5) + 2 52 + -54y = (30 + -35y) + 2 Reorder the terms: 52 + -54y = 30 + 2 + -35y Combine like terms: 30 + 2 = 32 52 + -54y = 32 + -35y Solving 52 + -54y = 32 + -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 = 32 + -35y + 35y Combine like terms: -54y + 35y = -19y 52 + -19y = 32 + -35y + 35y Combine like terms: -35y + 35y = 0 52 + -19y = 32 + 0 52 + -19y = 32 Add '-52' to each side of the equation. 52 + -52 + -19y = 32 + -52 Combine like terms: 52 + -52 = 0 0 + -19y = 32 + -52 -19y = 32 + -52 Combine like terms: 32 + -52 = -20 -19y = -20 Divide each side by '-19'. y = 1.052631579 Simplifying y = 1.052631579
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