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Simplifying -3(6y + -9) + -1y = -3(y + -4) Reorder the terms: -3(-9 + 6y) + -1y = -3(y + -4) (-9 * -3 + 6y * -3) + -1y = -3(y + -4) (27 + -18y) + -1y = -3(y + -4) Combine like terms: -18y + -1y = -19y 27 + -19y = -3(y + -4) Reorder the terms: 27 + -19y = -3(-4 + y) 27 + -19y = (-4 * -3 + y * -3) 27 + -19y = (12 + -3y) Solving 27 + -19y = 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 + -19y + 3y = 12 + -3y + 3y Combine like terms: -19y + 3y = -16y 27 + -16y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 27 + -16y = 12 + 0 27 + -16y = 12 Add '-27' to each side of the equation. 27 + -27 + -16y = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -16y = 12 + -27 -16y = 12 + -27 Combine like terms: 12 + -27 = -15 -16y = -15 Divide each side by '-16'. y = 0.9375 Simplifying y = 0.9375
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