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Simplifying 12 = 8(y + -2) + -4y Reorder the terms: 12 = 8(-2 + y) + -4y 12 = (-2 * 8 + y * 8) + -4y 12 = (-16 + 8y) + -4y Combine like terms: 8y + -4y = 4y 12 = -16 + 4y Solving 12 = -16 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 12 + -4y = -16 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + -4y = -16 + 0 12 + -4y = -16 Add '-12' to each side of the equation. 12 + -12 + -4y = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -4y = -16 + -12 -4y = -16 + -12 Combine like terms: -16 + -12 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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