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Simplifying 5(y + 2) = -2(9y + -1) + 7y Reorder the terms: 5(2 + y) = -2(9y + -1) + 7y (2 * 5 + y * 5) = -2(9y + -1) + 7y (10 + 5y) = -2(9y + -1) + 7y Reorder the terms: 10 + 5y = -2(-1 + 9y) + 7y 10 + 5y = (-1 * -2 + 9y * -2) + 7y 10 + 5y = (2 + -18y) + 7y Combine like terms: -18y + 7y = -11y 10 + 5y = 2 + -11y Solving 10 + 5y = 2 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. 10 + 5y + 11y = 2 + -11y + 11y Combine like terms: 5y + 11y = 16y 10 + 16y = 2 + -11y + 11y Combine like terms: -11y + 11y = 0 10 + 16y = 2 + 0 10 + 16y = 2 Add '-10' to each side of the equation. 10 + -10 + 16y = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 16y = 2 + -10 16y = 2 + -10 Combine like terms: 2 + -10 = -8 16y = -8 Divide each side by '16'. y = -0.5 Simplifying y = -0.5
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