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Simplifying -3(5y + -3) + -1y = -3(y + -4) Reorder the terms: -3(-3 + 5y) + -1y = -3(y + -4) (-3 * -3 + 5y * -3) + -1y = -3(y + -4) (9 + -15y) + -1y = -3(y + -4) Combine like terms: -15y + -1y = -16y 9 + -16y = -3(y + -4) Reorder the terms: 9 + -16y = -3(-4 + y) 9 + -16y = (-4 * -3 + y * -3) 9 + -16y = (12 + -3y) Solving 9 + -16y = 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. 9 + -16y + 3y = 12 + -3y + 3y Combine like terms: -16y + 3y = -13y 9 + -13y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 9 + -13y = 12 + 0 9 + -13y = 12 Add '-9' to each side of the equation. 9 + -9 + -13y = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -13y = 12 + -9 -13y = 12 + -9 Combine like terms: 12 + -9 = 3 -13y = 3 Divide each side by '-13'. y = -0.2307692308 Simplifying y = -0.2307692308
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