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Simplifying 6 + -1(2y + 4) = 12y + -12 Reorder the terms: 6 + -1(4 + 2y) = 12y + -12 6 + (4 * -1 + 2y * -1) = 12y + -12 6 + (-4 + -2y) = 12y + -12 Combine like terms: 6 + -4 = 2 2 + -2y = 12y + -12 Reorder the terms: 2 + -2y = -12 + 12y Solving 2 + -2y = -12 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 2 + -2y + -12y = -12 + 12y + -12y Combine like terms: -2y + -12y = -14y 2 + -14y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 2 + -14y = -12 + 0 2 + -14y = -12 Add '-2' to each side of the equation. 2 + -2 + -14y = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -14y = -12 + -2 -14y = -12 + -2 Combine like terms: -12 + -2 = -14 -14y = -14 Divide each side by '-14'. y = 1 Simplifying y = 1
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