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Simplifying -3(4y + -5) + -1y = -4(y + -3) Reorder the terms: -3(-5 + 4y) + -1y = -4(y + -3) (-5 * -3 + 4y * -3) + -1y = -4(y + -3) (15 + -12y) + -1y = -4(y + -3) Combine like terms: -12y + -1y = -13y 15 + -13y = -4(y + -3) Reorder the terms: 15 + -13y = -4(-3 + y) 15 + -13y = (-3 * -4 + y * -4) 15 + -13y = (12 + -4y) Solving 15 + -13y = 12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 15 + -13y + 4y = 12 + -4y + 4y Combine like terms: -13y + 4y = -9y 15 + -9y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 15 + -9y = 12 + 0 15 + -9y = 12 Add '-15' to each side of the equation. 15 + -15 + -9y = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -9y = 12 + -15 -9y = 12 + -15 Combine like terms: 12 + -15 = -3 -9y = -3 Divide each side by '-9'. y = 0.3333333333 Simplifying y = 0.3333333333
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