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Simplifying -5y + -2(3y + -9) = 5 + -7(1 + -1y) Reorder the terms: -5y + -2(-9 + 3y) = 5 + -7(1 + -1y) -5y + (-9 * -2 + 3y * -2) = 5 + -7(1 + -1y) -5y + (18 + -6y) = 5 + -7(1 + -1y) Reorder the terms: 18 + -5y + -6y = 5 + -7(1 + -1y) Combine like terms: -5y + -6y = -11y 18 + -11y = 5 + -7(1 + -1y) 18 + -11y = 5 + (1 * -7 + -1y * -7) 18 + -11y = 5 + (-7 + 7y) Combine like terms: 5 + -7 = -2 18 + -11y = -2 + 7y Solving 18 + -11y = -2 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 18 + -11y + -7y = -2 + 7y + -7y Combine like terms: -11y + -7y = -18y 18 + -18y = -2 + 7y + -7y Combine like terms: 7y + -7y = 0 18 + -18y = -2 + 0 18 + -18y = -2 Add '-18' to each side of the equation. 18 + -18 + -18y = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -18y = -2 + -18 -18y = -2 + -18 Combine like terms: -2 + -18 = -20 -18y = -20 Divide each side by '-18'. y = 1.111111111 Simplifying y = 1.111111111
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