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Simplifying 2(5 + 2y) = 18 + 3y (5 * 2 + 2y * 2) = 18 + 3y (10 + 4y) = 18 + 3y Solving 10 + 4y = 18 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 10 + 4y + -3y = 18 + 3y + -3y Combine like terms: 4y + -3y = 1y 10 + 1y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + 1y = 18 + 0 10 + 1y = 18 Add '-10' to each side of the equation. 10 + -10 + 1y = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 18 + -10 1y = 18 + -10 Combine like terms: 18 + -10 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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