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Simplifying 2(y + 5) = 3y + 12 Reorder the terms: 2(5 + y) = 3y + 12 (5 * 2 + y * 2) = 3y + 12 (10 + 2y) = 3y + 12 Reorder the terms: 10 + 2y = 12 + 3y Solving 10 + 2y = 12 + 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 + 2y + -3y = 12 + 3y + -3y Combine like terms: 2y + -3y = -1y 10 + -1y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + -1y = 12 + 0 10 + -1y = 12 Add '-10' to each side of the equation. 10 + -10 + -1y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 12 + -10 -1y = 12 + -10 Combine like terms: 12 + -10 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2
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