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Simplifying -5(6y + -8) + -1y = -2(y + -2) Reorder the terms: -5(-8 + 6y) + -1y = -2(y + -2) (-8 * -5 + 6y * -5) + -1y = -2(y + -2) (40 + -30y) + -1y = -2(y + -2) Combine like terms: -30y + -1y = -31y 40 + -31y = -2(y + -2) Reorder the terms: 40 + -31y = -2(-2 + y) 40 + -31y = (-2 * -2 + y * -2) 40 + -31y = (4 + -2y) Solving 40 + -31y = 4 + -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. 40 + -31y + 2y = 4 + -2y + 2y Combine like terms: -31y + 2y = -29y 40 + -29y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 40 + -29y = 4 + 0 40 + -29y = 4 Add '-40' to each side of the equation. 40 + -40 + -29y = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -29y = 4 + -40 -29y = 4 + -40 Combine like terms: 4 + -40 = -36 -29y = -36 Divide each side by '-29'. y = 1.24137931 Simplifying y = 1.24137931
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