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Simplifying -3y + 9(-9y + 5) = 6 + 9(-7 + -1y) Reorder the terms: -3y + 9(5 + -9y) = 6 + 9(-7 + -1y) -3y + (5 * 9 + -9y * 9) = 6 + 9(-7 + -1y) -3y + (45 + -81y) = 6 + 9(-7 + -1y) Reorder the terms: 45 + -3y + -81y = 6 + 9(-7 + -1y) Combine like terms: -3y + -81y = -84y 45 + -84y = 6 + 9(-7 + -1y) 45 + -84y = 6 + (-7 * 9 + -1y * 9) 45 + -84y = 6 + (-63 + -9y) Combine like terms: 6 + -63 = -57 45 + -84y = -57 + -9y Solving 45 + -84y = -57 + -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. 45 + -84y + 9y = -57 + -9y + 9y Combine like terms: -84y + 9y = -75y 45 + -75y = -57 + -9y + 9y Combine like terms: -9y + 9y = 0 45 + -75y = -57 + 0 45 + -75y = -57 Add '-45' to each side of the equation. 45 + -45 + -75y = -57 + -45 Combine like terms: 45 + -45 = 0 0 + -75y = -57 + -45 -75y = -57 + -45 Combine like terms: -57 + -45 = -102 -75y = -102 Divide each side by '-75'. y = 1.36 Simplifying y = 1.36
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