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Simplifying -2 + -9(4y + -5) = 2(5y + -6) + 5 Reorder the terms: -2 + -9(-5 + 4y) = 2(5y + -6) + 5 -2 + (-5 * -9 + 4y * -9) = 2(5y + -6) + 5 -2 + (45 + -36y) = 2(5y + -6) + 5 Combine like terms: -2 + 45 = 43 43 + -36y = 2(5y + -6) + 5 Reorder the terms: 43 + -36y = 2(-6 + 5y) + 5 43 + -36y = (-6 * 2 + 5y * 2) + 5 43 + -36y = (-12 + 10y) + 5 Reorder the terms: 43 + -36y = -12 + 5 + 10y Combine like terms: -12 + 5 = -7 43 + -36y = -7 + 10y Solving 43 + -36y = -7 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 43 + -36y + -10y = -7 + 10y + -10y Combine like terms: -36y + -10y = -46y 43 + -46y = -7 + 10y + -10y Combine like terms: 10y + -10y = 0 43 + -46y = -7 + 0 43 + -46y = -7 Add '-43' to each side of the equation. 43 + -43 + -46y = -7 + -43 Combine like terms: 43 + -43 = 0 0 + -46y = -7 + -43 -46y = -7 + -43 Combine like terms: -7 + -43 = -50 -46y = -50 Divide each side by '-46'. y = 1.086956522 Simplifying y = 1.086956522
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