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Simplifying -3(5y + -9) + -1y = -3(y + -4) Reorder the terms: -3(-9 + 5y) + -1y = -3(y + -4) (-9 * -3 + 5y * -3) + -1y = -3(y + -4) (27 + -15y) + -1y = -3(y + -4) Combine like terms: -15y + -1y = -16y 27 + -16y = -3(y + -4) Reorder the terms: 27 + -16y = -3(-4 + y) 27 + -16y = (-4 * -3 + y * -3) 27 + -16y = (12 + -3y) Solving 27 + -16y = 12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 27 + -16y + 3y = 12 + -3y + 3y Combine like terms: -16y + 3y = -13y 27 + -13y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 27 + -13y = 12 + 0 27 + -13y = 12 Add '-27' to each side of the equation. 27 + -27 + -13y = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -13y = 12 + -27 -13y = 12 + -27 Combine like terms: 12 + -27 = -15 -13y = -15 Divide each side by '-13'. y = 1.153846154 Simplifying y = 1.153846154
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