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Simplifying 2(y + 1) + 12 = 5y + -4 Reorder the terms: 2(1 + y) + 12 = 5y + -4 (1 * 2 + y * 2) + 12 = 5y + -4 (2 + 2y) + 12 = 5y + -4 Reorder the terms: 2 + 12 + 2y = 5y + -4 Combine like terms: 2 + 12 = 14 14 + 2y = 5y + -4 Reorder the terms: 14 + 2y = -4 + 5y Solving 14 + 2y = -4 + 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. 14 + 2y + -5y = -4 + 5y + -5y Combine like terms: 2y + -5y = -3y 14 + -3y = -4 + 5y + -5y Combine like terms: 5y + -5y = 0 14 + -3y = -4 + 0 14 + -3y = -4 Add '-14' to each side of the equation. 14 + -14 + -3y = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -3y = -4 + -14 -3y = -4 + -14 Combine like terms: -4 + -14 = -18 -3y = -18 Divide each side by '-3'. y = 6 Simplifying y = 6
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