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Simplifying 2(y + -6) = 3y + 12 + -4 Reorder the terms: 2(-6 + y) = 3y + 12 + -4 (-6 * 2 + y * 2) = 3y + 12 + -4 (-12 + 2y) = 3y + 12 + -4 Reorder the terms: -12 + 2y = 12 + -4 + 3y Combine like terms: 12 + -4 = 8 -12 + 2y = 8 + 3y Solving -12 + 2y = 8 + 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 = 8 + 3y + -3y Combine like terms: 2y + -3y = -1y -12 + -1y = 8 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + -1y = 8 + 0 -12 + -1y = 8 Add '12' to each side of the equation. -12 + 12 + -1y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 8 + 12 -1y = 8 + 12 Combine like terms: 8 + 12 = 20 -1y = 20 Divide each side by '-1'. y = -20 Simplifying y = -20
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