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Simplifying 18 + -8(y + 2) = 2(y + -9) Reorder the terms: 18 + -8(2 + y) = 2(y + -9) 18 + (2 * -8 + y * -8) = 2(y + -9) 18 + (-16 + -8y) = 2(y + -9) Combine like terms: 18 + -16 = 2 2 + -8y = 2(y + -9) Reorder the terms: 2 + -8y = 2(-9 + y) 2 + -8y = (-9 * 2 + y * 2) 2 + -8y = (-18 + 2y) Solving 2 + -8y = -18 + 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. 2 + -8y + -2y = -18 + 2y + -2y Combine like terms: -8y + -2y = -10y 2 + -10y = -18 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + -10y = -18 + 0 2 + -10y = -18 Add '-2' to each side of the equation. 2 + -2 + -10y = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -10y = -18 + -2 -10y = -18 + -2 Combine like terms: -18 + -2 = -20 -10y = -20 Divide each side by '-10'. y = 2 Simplifying y = 2
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