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Simplifying -4(3y + -2) + -1y = -3(y + -5) Reorder the terms: -4(-2 + 3y) + -1y = -3(y + -5) (-2 * -4 + 3y * -4) + -1y = -3(y + -5) (8 + -12y) + -1y = -3(y + -5) Combine like terms: -12y + -1y = -13y 8 + -13y = -3(y + -5) Reorder the terms: 8 + -13y = -3(-5 + y) 8 + -13y = (-5 * -3 + y * -3) 8 + -13y = (15 + -3y) Solving 8 + -13y = 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. 8 + -13y + 3y = 15 + -3y + 3y Combine like terms: -13y + 3y = -10y 8 + -10y = 15 + -3y + 3y Combine like terms: -3y + 3y = 0 8 + -10y = 15 + 0 8 + -10y = 15 Add '-8' to each side of the equation. 8 + -8 + -10y = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -10y = 15 + -8 -10y = 15 + -8 Combine like terms: 15 + -8 = 7 -10y = 7 Divide each side by '-10'. y = -0.7 Simplifying y = -0.7
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