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Simplifying 2y + 7 = 3(y + 6) Reorder the terms: 7 + 2y = 3(y + 6) Reorder the terms: 7 + 2y = 3(6 + y) 7 + 2y = (6 * 3 + y * 3) 7 + 2y = (18 + 3y) Solving 7 + 2y = 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. 7 + 2y + -3y = 18 + 3y + -3y Combine like terms: 2y + -3y = -1y 7 + -1y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 7 + -1y = 18 + 0 7 + -1y = 18 Add '-7' to each side of the equation. 7 + -7 + -1y = 18 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 18 + -7 -1y = 18 + -7 Combine like terms: 18 + -7 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11
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