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Simplifying -5(3y + -9) + -1y = -3(y + -5) Reorder the terms: -5(-9 + 3y) + -1y = -3(y + -5) (-9 * -5 + 3y * -5) + -1y = -3(y + -5) (45 + -15y) + -1y = -3(y + -5) Combine like terms: -15y + -1y = -16y 45 + -16y = -3(y + -5) Reorder the terms: 45 + -16y = -3(-5 + y) 45 + -16y = (-5 * -3 + y * -3) 45 + -16y = (15 + -3y) Solving 45 + -16y = 15 + -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. 45 + -16y + 3y = 15 + -3y + 3y Combine like terms: -16y + 3y = -13y 45 + -13y = 15 + -3y + 3y Combine like terms: -3y + 3y = 0 45 + -13y = 15 + 0 45 + -13y = 15 Add '-45' to each side of the equation. 45 + -45 + -13y = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -13y = 15 + -45 -13y = 15 + -45 Combine like terms: 15 + -45 = -30 -13y = -30 Divide each side by '-13'. y = 2.307692308 Simplifying y = 2.307692308
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