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Simplifying 2(y + 8) = 3(y + -6) Reorder the terms: 2(8 + y) = 3(y + -6) (8 * 2 + y * 2) = 3(y + -6) (16 + 2y) = 3(y + -6) Reorder the terms: 16 + 2y = 3(-6 + y) 16 + 2y = (-6 * 3 + y * 3) 16 + 2y = (-18 + 3y) Solving 16 + 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. 16 + 2y + -3y = -18 + 3y + -3y Combine like terms: 2y + -3y = -1y 16 + -1y = -18 + 3y + -3y Combine like terms: 3y + -3y = 0 16 + -1y = -18 + 0 16 + -1y = -18 Add '-16' to each side of the equation. 16 + -16 + -1y = -18 + -16 Combine like terms: 16 + -16 = 0 0 + -1y = -18 + -16 -1y = -18 + -16 Combine like terms: -18 + -16 = -34 -1y = -34 Divide each side by '-1'. y = 34 Simplifying y = 34
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