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Simplifying 8(y + -3) = 6 + 9y Reorder the terms: 8(-3 + y) = 6 + 9y (-3 * 8 + y * 8) = 6 + 9y (-24 + 8y) = 6 + 9y Solving -24 + 8y = 6 + 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. -24 + 8y + -9y = 6 + 9y + -9y Combine like terms: 8y + -9y = -1y -24 + -1y = 6 + 9y + -9y Combine like terms: 9y + -9y = 0 -24 + -1y = 6 + 0 -24 + -1y = 6 Add '24' to each side of the equation. -24 + 24 + -1y = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -1y = 6 + 24 -1y = 6 + 24 Combine like terms: 6 + 24 = 30 -1y = 30 Divide each side by '-1'. y = -30 Simplifying y = -30
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