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Simplifying 5(y + 3) = -7(2y + -1) + y Reorder the terms: 5(3 + y) = -7(2y + -1) + y (3 * 5 + y * 5) = -7(2y + -1) + y (15 + 5y) = -7(2y + -1) + y Reorder the terms: 15 + 5y = -7(-1 + 2y) + y 15 + 5y = (-1 * -7 + 2y * -7) + y 15 + 5y = (7 + -14y) + y Combine like terms: -14y + y = -13y 15 + 5y = 7 + -13y Solving 15 + 5y = 7 + -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. 15 + 5y + 13y = 7 + -13y + 13y Combine like terms: 5y + 13y = 18y 15 + 18y = 7 + -13y + 13y Combine like terms: -13y + 13y = 0 15 + 18y = 7 + 0 15 + 18y = 7 Add '-15' to each side of the equation. 15 + -15 + 18y = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 18y = 7 + -15 18y = 7 + -15 Combine like terms: 7 + -15 = -8 18y = -8 Divide each side by '18'. y = -0.4444444444 Simplifying y = -0.4444444444
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