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Simplifying 3(y + -6) + -2 = y + 12 Reorder the terms: 3(-6 + y) + -2 = y + 12 (-6 * 3 + y * 3) + -2 = y + 12 (-18 + 3y) + -2 = y + 12 Reorder the terms: -18 + -2 + 3y = y + 12 Combine like terms: -18 + -2 = -20 -20 + 3y = y + 12 Reorder the terms: -20 + 3y = 12 + y Solving -20 + 3y = 12 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -20 + 3y + -1y = 12 + y + -1y Combine like terms: 3y + -1y = 2y -20 + 2y = 12 + y + -1y Combine like terms: y + -1y = 0 -20 + 2y = 12 + 0 -20 + 2y = 12 Add '20' to each side of the equation. -20 + 20 + 2y = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 2y = 12 + 20 2y = 12 + 20 Combine like terms: 12 + 20 = 32 2y = 32 Divide each side by '2'. y = 16 Simplifying y = 16
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