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Simplifying 18 = -3(24 + -1y) + 3(y + -2) 18 = (24 * -3 + -1y * -3) + 3(y + -2) 18 = (-72 + 3y) + 3(y + -2) Reorder the terms: 18 = -72 + 3y + 3(-2 + y) 18 = -72 + 3y + (-2 * 3 + y * 3) 18 = -72 + 3y + (-6 + 3y) Reorder the terms: 18 = -72 + -6 + 3y + 3y Combine like terms: -72 + -6 = -78 18 = -78 + 3y + 3y Combine like terms: 3y + 3y = 6y 18 = -78 + 6y Solving 18 = -78 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 18 + -6y = -78 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + -6y = -78 + 0 18 + -6y = -78 Add '-18' to each side of the equation. 18 + -18 + -6y = -78 + -18 Combine like terms: 18 + -18 = 0 0 + -6y = -78 + -18 -6y = -78 + -18 Combine like terms: -78 + -18 = -96 -6y = -96 Divide each side by '-6'. y = 16 Simplifying y = 16
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