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Simplifying 12 = 4(y + -5) + -8y Reorder the terms: 12 = 4(-5 + y) + -8y 12 = (-5 * 4 + y * 4) + -8y 12 = (-20 + 4y) + -8y Combine like terms: 4y + -8y = -4y 12 = -20 + -4y Solving 12 = -20 + -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 = -20 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + 4y = -20 + 0 12 + 4y = -20 Add '-12' to each side of the equation. 12 + -12 + 4y = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = -20 + -12 4y = -20 + -12 Combine like terms: -20 + -12 = -32 4y = -32 Divide each side by '4'. y = -8 Simplifying y = -8
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