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Simplifying -5(5y + -2) + 9y = 2(y + 6) Reorder the terms: -5(-2 + 5y) + 9y = 2(y + 6) (-2 * -5 + 5y * -5) + 9y = 2(y + 6) (10 + -25y) + 9y = 2(y + 6) Combine like terms: -25y + 9y = -16y 10 + -16y = 2(y + 6) Reorder the terms: 10 + -16y = 2(6 + y) 10 + -16y = (6 * 2 + y * 2) 10 + -16y = (12 + 2y) Solving 10 + -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. 10 + -16y + -2y = 12 + 2y + -2y Combine like terms: -16y + -2y = -18y 10 + -18y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + -18y = 12 + 0 10 + -18y = 12 Add '-10' to each side of the equation. 10 + -10 + -18y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -18y = 12 + -10 -18y = 12 + -10 Combine like terms: 12 + -10 = 2 -18y = 2 Divide each side by '-18'. y = -0.1111111111 Simplifying y = -0.1111111111
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