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Simplifying -3(4y + -9) + -1y = -2(y + -5) Reorder the terms: -3(-9 + 4y) + -1y = -2(y + -5) (-9 * -3 + 4y * -3) + -1y = -2(y + -5) (27 + -12y) + -1y = -2(y + -5) Combine like terms: -12y + -1y = -13y 27 + -13y = -2(y + -5) Reorder the terms: 27 + -13y = -2(-5 + y) 27 + -13y = (-5 * -2 + y * -2) 27 + -13y = (10 + -2y) Solving 27 + -13y = 10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 27 + -13y + 2y = 10 + -2y + 2y Combine like terms: -13y + 2y = -11y 27 + -11y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 27 + -11y = 10 + 0 27 + -11y = 10 Add '-27' to each side of the equation. 27 + -27 + -11y = 10 + -27 Combine like terms: 27 + -27 = 0 0 + -11y = 10 + -27 -11y = 10 + -27 Combine like terms: 10 + -27 = -17 -11y = -17 Divide each side by '-11'. y = 1.545454545 Simplifying y = 1.545454545
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