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Simplifying -4(4y + -9) + -1y = -2(y + -5) Reorder the terms: -4(-9 + 4y) + -1y = -2(y + -5) (-9 * -4 + 4y * -4) + -1y = -2(y + -5) (36 + -16y) + -1y = -2(y + -5) Combine like terms: -16y + -1y = -17y 36 + -17y = -2(y + -5) Reorder the terms: 36 + -17y = -2(-5 + y) 36 + -17y = (-5 * -2 + y * -2) 36 + -17y = (10 + -2y) Solving 36 + -17y = 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. 36 + -17y + 2y = 10 + -2y + 2y Combine like terms: -17y + 2y = -15y 36 + -15y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 36 + -15y = 10 + 0 36 + -15y = 10 Add '-36' to each side of the equation. 36 + -36 + -15y = 10 + -36 Combine like terms: 36 + -36 = 0 0 + -15y = 10 + -36 -15y = 10 + -36 Combine like terms: 10 + -36 = -26 -15y = -26 Divide each side by '-15'. y = 1.733333333 Simplifying y = 1.733333333
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