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Simplifying -5(y + -6) = 2(10 + -1y) Reorder the terms: -5(-6 + y) = 2(10 + -1y) (-6 * -5 + y * -5) = 2(10 + -1y) (30 + -5y) = 2(10 + -1y) 30 + -5y = (10 * 2 + -1y * 2) 30 + -5y = (20 + -2y) Solving 30 + -5y = 20 + -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 + -5y + 2y = 20 + -2y + 2y Combine like terms: -5y + 2y = -3y 30 + -3y = 20 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + -3y = 20 + 0 30 + -3y = 20 Add '-30' to each side of the equation. 30 + -30 + -3y = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -3y = 20 + -30 -3y = 20 + -30 Combine like terms: 20 + -30 = -10 -3y = -10 Divide each side by '-3'. y = 3.333333333 Simplifying y = 3.333333333
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