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Simplifying 2(y + 6) = 3(y + -5) Reorder the terms: 2(6 + y) = 3(y + -5) (6 * 2 + y * 2) = 3(y + -5) (12 + 2y) = 3(y + -5) Reorder the terms: 12 + 2y = 3(-5 + y) 12 + 2y = (-5 * 3 + y * 3) 12 + 2y = (-15 + 3y) Solving 12 + 2y = -15 + 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. 12 + 2y + -3y = -15 + 3y + -3y Combine like terms: 2y + -3y = -1y 12 + -1y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + -1y = -15 + 0 12 + -1y = -15 Add '-12' to each side of the equation. 12 + -12 + -1y = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = -15 + -12 -1y = -15 + -12 Combine like terms: -15 + -12 = -27 -1y = -27 Divide each side by '-1'. y = 27 Simplifying y = 27
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