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Simplifying 12 = 6(y + 1) + -8(1 + -1y) Reorder the terms: 12 = 6(1 + y) + -8(1 + -1y) 12 = (1 * 6 + y * 6) + -8(1 + -1y) 12 = (6 + 6y) + -8(1 + -1y) 12 = 6 + 6y + (1 * -8 + -1y * -8) 12 = 6 + 6y + (-8 + 8y) Reorder the terms: 12 = 6 + -8 + 6y + 8y Combine like terms: 6 + -8 = -2 12 = -2 + 6y + 8y Combine like terms: 6y + 8y = 14y 12 = -2 + 14y Solving 12 = -2 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 12 + -14y = -2 + 14y + -14y Combine like terms: 14y + -14y = 0 12 + -14y = -2 + 0 12 + -14y = -2 Add '-12' to each side of the equation. 12 + -12 + -14y = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -14y = -2 + -12 -14y = -2 + -12 Combine like terms: -2 + -12 = -14 -14y = -14 Divide each side by '-14'. y = 1 Simplifying y = 1
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