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Simplifying 12 + -12y + -3(y + 2) = 4y + 6 + -1y Reorder the terms: 12 + -12y + -3(2 + y) = 4y + 6 + -1y 12 + -12y + (2 * -3 + y * -3) = 4y + 6 + -1y 12 + -12y + (-6 + -3y) = 4y + 6 + -1y Reorder the terms: 12 + -6 + -12y + -3y = 4y + 6 + -1y Combine like terms: 12 + -6 = 6 6 + -12y + -3y = 4y + 6 + -1y Combine like terms: -12y + -3y = -15y 6 + -15y = 4y + 6 + -1y Reorder the terms: 6 + -15y = 6 + 4y + -1y Combine like terms: 4y + -1y = 3y 6 + -15y = 6 + 3y Add '-6' to each side of the equation. 6 + -6 + -15y = 6 + -6 + 3y Combine like terms: 6 + -6 = 0 0 + -15y = 6 + -6 + 3y -15y = 6 + -6 + 3y Combine like terms: 6 + -6 = 0 -15y = 0 + 3y -15y = 3y Solving -15y = 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. -15y + -3y = 3y + -3y Combine like terms: -15y + -3y = -18y -18y = 3y + -3y Combine like terms: 3y + -3y = 0 -18y = 0 Divide each side by '-18'. y = 0 Simplifying y = 0
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