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Simplifying 5(2y + 9) = 27 + -2(y + -9) Reorder the terms: 5(9 + 2y) = 27 + -2(y + -9) (9 * 5 + 2y * 5) = 27 + -2(y + -9) (45 + 10y) = 27 + -2(y + -9) Reorder the terms: 45 + 10y = 27 + -2(-9 + y) 45 + 10y = 27 + (-9 * -2 + y * -2) 45 + 10y = 27 + (18 + -2y) Combine like terms: 27 + 18 = 45 45 + 10y = 45 + -2y Add '-45' to each side of the equation. 45 + -45 + 10y = 45 + -45 + -2y Combine like terms: 45 + -45 = 0 0 + 10y = 45 + -45 + -2y 10y = 45 + -45 + -2y Combine like terms: 45 + -45 = 0 10y = 0 + -2y 10y = -2y Solving 10y = -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. 10y + 2y = -2y + 2y Combine like terms: 10y + 2y = 12y 12y = -2y + 2y Combine like terms: -2y + 2y = 0 12y = 0 Divide each side by '12'. y = 0 Simplifying y = 0
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