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Simplifying -2(y + 2) + 7 = 3(y + 6) Reorder the terms: -2(2 + y) + 7 = 3(y + 6) (2 * -2 + y * -2) + 7 = 3(y + 6) (-4 + -2y) + 7 = 3(y + 6) Reorder the terms: -4 + 7 + -2y = 3(y + 6) Combine like terms: -4 + 7 = 3 3 + -2y = 3(y + 6) Reorder the terms: 3 + -2y = 3(6 + y) 3 + -2y = (6 * 3 + y * 3) 3 + -2y = (18 + 3y) Solving 3 + -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. 3 + -2y + -3y = 18 + 3y + -3y Combine like terms: -2y + -3y = -5y 3 + -5y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 3 + -5y = 18 + 0 3 + -5y = 18 Add '-3' to each side of the equation. 3 + -3 + -5y = 18 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 18 + -3 -5y = 18 + -3 Combine like terms: 18 + -3 = 15 -5y = 15 Divide each side by '-5'. y = -3 Simplifying y = -3
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