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Simplifying -3(4y + -9) + -1y = -4(y + -4) Reorder the terms: -3(-9 + 4y) + -1y = -4(y + -4) (-9 * -3 + 4y * -3) + -1y = -4(y + -4) (27 + -12y) + -1y = -4(y + -4) Combine like terms: -12y + -1y = -13y 27 + -13y = -4(y + -4) Reorder the terms: 27 + -13y = -4(-4 + y) 27 + -13y = (-4 * -4 + y * -4) 27 + -13y = (16 + -4y) Solving 27 + -13y = 16 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 27 + -13y + 4y = 16 + -4y + 4y Combine like terms: -13y + 4y = -9y 27 + -9y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 27 + -9y = 16 + 0 27 + -9y = 16 Add '-27' to each side of the equation. 27 + -27 + -9y = 16 + -27 Combine like terms: 27 + -27 = 0 0 + -9y = 16 + -27 -9y = 16 + -27 Combine like terms: 16 + -27 = -11 -9y = -11 Divide each side by '-9'. y = 1.222222222 Simplifying y = 1.222222222
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