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Simplifying -9(5y + -4) + -8 + 15(10y + 11) = 8 + -9(-11y + -7) Reorder the terms: -9(-4 + 5y) + -8 + 15(10y + 11) = 8 + -9(-11y + -7) (-4 * -9 + 5y * -9) + -8 + 15(10y + 11) = 8 + -9(-11y + -7) (36 + -45y) + -8 + 15(10y + 11) = 8 + -9(-11y + -7) Reorder the terms: 36 + -45y + -8 + 15(11 + 10y) = 8 + -9(-11y + -7) 36 + -45y + -8 + (11 * 15 + 10y * 15) = 8 + -9(-11y + -7) 36 + -45y + -8 + (165 + 150y) = 8 + -9(-11y + -7) Reorder the terms: 36 + -8 + 165 + -45y + 150y = 8 + -9(-11y + -7) Combine like terms: 36 + -8 = 28 28 + 165 + -45y + 150y = 8 + -9(-11y + -7) Combine like terms: 28 + 165 = 193 193 + -45y + 150y = 8 + -9(-11y + -7) Combine like terms: -45y + 150y = 105y 193 + 105y = 8 + -9(-11y + -7) Reorder the terms: 193 + 105y = 8 + -9(-7 + -11y) 193 + 105y = 8 + (-7 * -9 + -11y * -9) 193 + 105y = 8 + (63 + 99y) Combine like terms: 8 + 63 = 71 193 + 105y = 71 + 99y Solving 193 + 105y = 71 + 99y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-99y' to each side of the equation. 193 + 105y + -99y = 71 + 99y + -99y Combine like terms: 105y + -99y = 6y 193 + 6y = 71 + 99y + -99y Combine like terms: 99y + -99y = 0 193 + 6y = 71 + 0 193 + 6y = 71 Add '-193' to each side of the equation. 193 + -193 + 6y = 71 + -193 Combine like terms: 193 + -193 = 0 0 + 6y = 71 + -193 6y = 71 + -193 Combine like terms: 71 + -193 = -122 6y = -122 Divide each side by '6'. y = -20.33333333 Simplifying y = -20.33333333
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