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Simplifying -3(6y + -5) = 3(1 + -7y) + 14 Reorder the terms: -3(-5 + 6y) = 3(1 + -7y) + 14 (-5 * -3 + 6y * -3) = 3(1 + -7y) + 14 (15 + -18y) = 3(1 + -7y) + 14 15 + -18y = (1 * 3 + -7y * 3) + 14 15 + -18y = (3 + -21y) + 14 Reorder the terms: 15 + -18y = 3 + 14 + -21y Combine like terms: 3 + 14 = 17 15 + -18y = 17 + -21y Solving 15 + -18y = 17 + -21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21y' to each side of the equation. 15 + -18y + 21y = 17 + -21y + 21y Combine like terms: -18y + 21y = 3y 15 + 3y = 17 + -21y + 21y Combine like terms: -21y + 21y = 0 15 + 3y = 17 + 0 15 + 3y = 17 Add '-15' to each side of the equation. 15 + -15 + 3y = 17 + -15 Combine like terms: 15 + -15 = 0 0 + 3y = 17 + -15 3y = 17 + -15 Combine like terms: 17 + -15 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667
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