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Simplifying -5(6y + -3) + -1y = -2(y + -4) Reorder the terms: -5(-3 + 6y) + -1y = -2(y + -4) (-3 * -5 + 6y * -5) + -1y = -2(y + -4) (15 + -30y) + -1y = -2(y + -4) Combine like terms: -30y + -1y = -31y 15 + -31y = -2(y + -4) Reorder the terms: 15 + -31y = -2(-4 + y) 15 + -31y = (-4 * -2 + y * -2) 15 + -31y = (8 + -2y) Solving 15 + -31y = 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. 15 + -31y + 2y = 8 + -2y + 2y Combine like terms: -31y + 2y = -29y 15 + -29y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 15 + -29y = 8 + 0 15 + -29y = 8 Add '-15' to each side of the equation. 15 + -15 + -29y = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -29y = 8 + -15 -29y = 8 + -15 Combine like terms: 8 + -15 = -7 -29y = -7 Divide each side by '-29'. y = 0.2413793103 Simplifying y = 0.2413793103
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