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Simplifying 18 = -3(23 + -1y) + 2(y + -4) 18 = (23 * -3 + -1y * -3) + 2(y + -4) 18 = (-69 + 3y) + 2(y + -4) Reorder the terms: 18 = -69 + 3y + 2(-4 + y) 18 = -69 + 3y + (-4 * 2 + y * 2) 18 = -69 + 3y + (-8 + 2y) Reorder the terms: 18 = -69 + -8 + 3y + 2y Combine like terms: -69 + -8 = -77 18 = -77 + 3y + 2y Combine like terms: 3y + 2y = 5y 18 = -77 + 5y Solving 18 = -77 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 18 + -5y = -77 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + -5y = -77 + 0 18 + -5y = -77 Add '-18' to each side of the equation. 18 + -18 + -5y = -77 + -18 Combine like terms: 18 + -18 = 0 0 + -5y = -77 + -18 -5y = -77 + -18 Combine like terms: -77 + -18 = -95 -5y = -95 Divide each side by '-5'. y = 19 Simplifying y = 19
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