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Simplifying -3y + 8(1y + 3) = 7 + 9(-3 + -1y) Reorder the terms: -3y + 8(3 + 1y) = 7 + 9(-3 + -1y) -3y + (3 * 8 + 1y * 8) = 7 + 9(-3 + -1y) -3y + (24 + 8y) = 7 + 9(-3 + -1y) Reorder the terms: 24 + -3y + 8y = 7 + 9(-3 + -1y) Combine like terms: -3y + 8y = 5y 24 + 5y = 7 + 9(-3 + -1y) 24 + 5y = 7 + (-3 * 9 + -1y * 9) 24 + 5y = 7 + (-27 + -9y) Combine like terms: 7 + -27 = -20 24 + 5y = -20 + -9y Solving 24 + 5y = -20 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 24 + 5y + 9y = -20 + -9y + 9y Combine like terms: 5y + 9y = 14y 24 + 14y = -20 + -9y + 9y Combine like terms: -9y + 9y = 0 24 + 14y = -20 + 0 24 + 14y = -20 Add '-24' to each side of the equation. 24 + -24 + 14y = -20 + -24 Combine like terms: 24 + -24 = 0 0 + 14y = -20 + -24 14y = -20 + -24 Combine like terms: -20 + -24 = -44 14y = -44 Divide each side by '14'. y = -3.142857143 Simplifying y = -3.142857143
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