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Simplifying -2y + 9(-2y + 1) = -5 + 7(-8 + -1y) Reorder the terms: -2y + 9(1 + -2y) = -5 + 7(-8 + -1y) -2y + (1 * 9 + -2y * 9) = -5 + 7(-8 + -1y) -2y + (9 + -18y) = -5 + 7(-8 + -1y) Reorder the terms: 9 + -2y + -18y = -5 + 7(-8 + -1y) Combine like terms: -2y + -18y = -20y 9 + -20y = -5 + 7(-8 + -1y) 9 + -20y = -5 + (-8 * 7 + -1y * 7) 9 + -20y = -5 + (-56 + -7y) Combine like terms: -5 + -56 = -61 9 + -20y = -61 + -7y Solving 9 + -20y = -61 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 9 + -20y + 7y = -61 + -7y + 7y Combine like terms: -20y + 7y = -13y 9 + -13y = -61 + -7y + 7y Combine like terms: -7y + 7y = 0 9 + -13y = -61 + 0 9 + -13y = -61 Add '-9' to each side of the equation. 9 + -9 + -13y = -61 + -9 Combine like terms: 9 + -9 = 0 0 + -13y = -61 + -9 -13y = -61 + -9 Combine like terms: -61 + -9 = -70 -13y = -70 Divide each side by '-13'. y = 5.384615385 Simplifying y = 5.384615385
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