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Simplifying 5(y + 6) = -3(6y + -5) + 5y Reorder the terms: 5(6 + y) = -3(6y + -5) + 5y (6 * 5 + y * 5) = -3(6y + -5) + 5y (30 + 5y) = -3(6y + -5) + 5y Reorder the terms: 30 + 5y = -3(-5 + 6y) + 5y 30 + 5y = (-5 * -3 + 6y * -3) + 5y 30 + 5y = (15 + -18y) + 5y Combine like terms: -18y + 5y = -13y 30 + 5y = 15 + -13y Solving 30 + 5y = 15 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. 30 + 5y + 13y = 15 + -13y + 13y Combine like terms: 5y + 13y = 18y 30 + 18y = 15 + -13y + 13y Combine like terms: -13y + 13y = 0 30 + 18y = 15 + 0 30 + 18y = 15 Add '-30' to each side of the equation. 30 + -30 + 18y = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 18y = 15 + -30 18y = 15 + -30 Combine like terms: 15 + -30 = -15 18y = -15 Divide each side by '18'. y = -0.8333333333 Simplifying y = -0.8333333333
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