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Simplifying -3y + 6(-9y + 7) = -4 + -6(-9 + -1y) Reorder the terms: -3y + 6(7 + -9y) = -4 + -6(-9 + -1y) -3y + (7 * 6 + -9y * 6) = -4 + -6(-9 + -1y) -3y + (42 + -54y) = -4 + -6(-9 + -1y) Reorder the terms: 42 + -3y + -54y = -4 + -6(-9 + -1y) Combine like terms: -3y + -54y = -57y 42 + -57y = -4 + -6(-9 + -1y) 42 + -57y = -4 + (-9 * -6 + -1y * -6) 42 + -57y = -4 + (54 + 6y) Combine like terms: -4 + 54 = 50 42 + -57y = 50 + 6y Solving 42 + -57y = 50 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 42 + -57y + -6y = 50 + 6y + -6y Combine like terms: -57y + -6y = -63y 42 + -63y = 50 + 6y + -6y Combine like terms: 6y + -6y = 0 42 + -63y = 50 + 0 42 + -63y = 50 Add '-42' to each side of the equation. 42 + -42 + -63y = 50 + -42 Combine like terms: 42 + -42 = 0 0 + -63y = 50 + -42 -63y = 50 + -42 Combine like terms: 50 + -42 = 8 -63y = 8 Divide each side by '-63'. y = -0.126984127 Simplifying y = -0.126984127
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