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Simplifying -5(4y + -6) + -1y = -2(y + -4) Reorder the terms: -5(-6 + 4y) + -1y = -2(y + -4) (-6 * -5 + 4y * -5) + -1y = -2(y + -4) (30 + -20y) + -1y = -2(y + -4) Combine like terms: -20y + -1y = -21y 30 + -21y = -2(y + -4) Reorder the terms: 30 + -21y = -2(-4 + y) 30 + -21y = (-4 * -2 + y * -2) 30 + -21y = (8 + -2y) Solving 30 + -21y = 8 + -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. 30 + -21y + 2y = 8 + -2y + 2y Combine like terms: -21y + 2y = -19y 30 + -19y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + -19y = 8 + 0 30 + -19y = 8 Add '-30' to each side of the equation. 30 + -30 + -19y = 8 + -30 Combine like terms: 30 + -30 = 0 0 + -19y = 8 + -30 -19y = 8 + -30 Combine like terms: 8 + -30 = -22 -19y = -22 Divide each side by '-19'. y = 1.157894737 Simplifying y = 1.157894737
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