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Simplifying 5(y + -4) + -5 = -3(-8y + 9) + -9y Reorder the terms: 5(-4 + y) + -5 = -3(-8y + 9) + -9y (-4 * 5 + y * 5) + -5 = -3(-8y + 9) + -9y (-20 + 5y) + -5 = -3(-8y + 9) + -9y Reorder the terms: -20 + -5 + 5y = -3(-8y + 9) + -9y Combine like terms: -20 + -5 = -25 -25 + 5y = -3(-8y + 9) + -9y Reorder the terms: -25 + 5y = -3(9 + -8y) + -9y -25 + 5y = (9 * -3 + -8y * -3) + -9y -25 + 5y = (-27 + 24y) + -9y Combine like terms: 24y + -9y = 15y -25 + 5y = -27 + 15y Solving -25 + 5y = -27 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -25 + 5y + -15y = -27 + 15y + -15y Combine like terms: 5y + -15y = -10y -25 + -10y = -27 + 15y + -15y Combine like terms: 15y + -15y = 0 -25 + -10y = -27 + 0 -25 + -10y = -27 Add '25' to each side of the equation. -25 + 25 + -10y = -27 + 25 Combine like terms: -25 + 25 = 0 0 + -10y = -27 + 25 -10y = -27 + 25 Combine like terms: -27 + 25 = -2 -10y = -2 Divide each side by '-10'. y = 0.2 Simplifying y = 0.2
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