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Simplifying 24 = 3y + 7(y + -8) Reorder the terms: 24 = 3y + 7(-8 + y) 24 = 3y + (-8 * 7 + y * 7) 24 = 3y + (-56 + 7y) Reorder the terms: 24 = -56 + 3y + 7y Combine like terms: 3y + 7y = 10y 24 = -56 + 10y Solving 24 = -56 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 24 + -10y = -56 + 10y + -10y Combine like terms: 10y + -10y = 0 24 + -10y = -56 + 0 24 + -10y = -56 Add '-24' to each side of the equation. 24 + -24 + -10y = -56 + -24 Combine like terms: 24 + -24 = 0 0 + -10y = -56 + -24 -10y = -56 + -24 Combine like terms: -56 + -24 = -80 -10y = -80 Divide each side by '-10'. y = 8 Simplifying y = 8
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