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Simplifying 12 = 5(y + -3) + -8y Reorder the terms: 12 = 5(-3 + y) + -8y 12 = (-3 * 5 + y * 5) + -8y 12 = (-15 + 5y) + -8y Combine like terms: 5y + -8y = -3y 12 = -15 + -3y Solving 12 = -15 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 12 + 3y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 12 + 3y = -15 + 0 12 + 3y = -15 Add '-12' to each side of the equation. 12 + -12 + 3y = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = -15 + -12 3y = -15 + -12 Combine like terms: -15 + -12 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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