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Simplifying 3(y + -9) + -4 = -2(-5y + 8) + -1y Reorder the terms: 3(-9 + y) + -4 = -2(-5y + 8) + -1y (-9 * 3 + y * 3) + -4 = -2(-5y + 8) + -1y (-27 + 3y) + -4 = -2(-5y + 8) + -1y Reorder the terms: -27 + -4 + 3y = -2(-5y + 8) + -1y Combine like terms: -27 + -4 = -31 -31 + 3y = -2(-5y + 8) + -1y Reorder the terms: -31 + 3y = -2(8 + -5y) + -1y -31 + 3y = (8 * -2 + -5y * -2) + -1y -31 + 3y = (-16 + 10y) + -1y Combine like terms: 10y + -1y = 9y -31 + 3y = -16 + 9y Solving -31 + 3y = -16 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -31 + 3y + -9y = -16 + 9y + -9y Combine like terms: 3y + -9y = -6y -31 + -6y = -16 + 9y + -9y Combine like terms: 9y + -9y = 0 -31 + -6y = -16 + 0 -31 + -6y = -16 Add '31' to each side of the equation. -31 + 31 + -6y = -16 + 31 Combine like terms: -31 + 31 = 0 0 + -6y = -16 + 31 -6y = -16 + 31 Combine like terms: -16 + 31 = 15 -6y = 15 Divide each side by '-6'. y = -2.5 Simplifying y = -2.5
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