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Simplifying 3 = 6y + 3(y + -8) Reorder the terms: 3 = 6y + 3(-8 + y) 3 = 6y + (-8 * 3 + y * 3) 3 = 6y + (-24 + 3y) Reorder the terms: 3 = -24 + 6y + 3y Combine like terms: 6y + 3y = 9y 3 = -24 + 9y Solving 3 = -24 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 3 + -9y = -24 + 9y + -9y Combine like terms: 9y + -9y = 0 3 + -9y = -24 + 0 3 + -9y = -24 Add '-3' to each side of the equation. 3 + -3 + -9y = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -9y = -24 + -3 -9y = -24 + -3 Combine like terms: -24 + -3 = -27 -9y = -27 Divide each side by '-9'. y = 3 Simplifying y = 3
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