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Simplifying -5(5y + -3) + 9y = 2(y + 6) Reorder the terms: -5(-3 + 5y) + 9y = 2(y + 6) (-3 * -5 + 5y * -5) + 9y = 2(y + 6) (15 + -25y) + 9y = 2(y + 6) Combine like terms: -25y + 9y = -16y 15 + -16y = 2(y + 6) Reorder the terms: 15 + -16y = 2(6 + y) 15 + -16y = (6 * 2 + y * 2) 15 + -16y = (12 + 2y) Solving 15 + -16y = 12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 15 + -16y + -2y = 12 + 2y + -2y Combine like terms: -16y + -2y = -18y 15 + -18y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 15 + -18y = 12 + 0 15 + -18y = 12 Add '-15' to each side of the equation. 15 + -15 + -18y = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -18y = 12 + -15 -18y = 12 + -15 Combine like terms: 12 + -15 = -3 -18y = -3 Divide each side by '-18'. y = 0.1666666667 Simplifying y = 0.1666666667
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