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Simplifying 7(3y + 5) + -1(3y + 5) = 0 Reorder the terms: 7(5 + 3y) + -1(3y + 5) = 0 (5 * 7 + 3y * 7) + -1(3y + 5) = 0 (35 + 21y) + -1(3y + 5) = 0 Reorder the terms: 35 + 21y + -1(5 + 3y) = 0 35 + 21y + (5 * -1 + 3y * -1) = 0 35 + 21y + (-5 + -3y) = 0 Reorder the terms: 35 + -5 + 21y + -3y = 0 Combine like terms: 35 + -5 = 30 30 + 21y + -3y = 0 Combine like terms: 21y + -3y = 18y 30 + 18y = 0 Solving 30 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 18y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 18y = 0 + -30 18y = 0 + -30 Combine like terms: 0 + -30 = -30 18y = -30 Divide each side by '18'. y = -1.666666667 Simplifying y = -1.666666667
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