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Simplifying 12(y + -1) = -2(7 + y) Reorder the terms: 12(-1 + y) = -2(7 + y) (-1 * 12 + y * 12) = -2(7 + y) (-12 + 12y) = -2(7 + y) -12 + 12y = (7 * -2 + y * -2) -12 + 12y = (-14 + -2y) Solving -12 + 12y = -14 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -12 + 12y + 2y = -14 + -2y + 2y Combine like terms: 12y + 2y = 14y -12 + 14y = -14 + -2y + 2y Combine like terms: -2y + 2y = 0 -12 + 14y = -14 + 0 -12 + 14y = -14 Add '12' to each side of the equation. -12 + 12 + 14y = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 14y = -14 + 12 14y = -14 + 12 Combine like terms: -14 + 12 = -2 14y = -2 Divide each side by '14'. y = -0.1428571429 Simplifying y = -0.1428571429
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