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Simplifying 30 + -1y = 8(y + -3) Reorder the terms: 30 + -1y = 8(-3 + y) 30 + -1y = (-3 * 8 + y * 8) 30 + -1y = (-24 + 8y) Solving 30 + -1y = -24 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 30 + -1y + -8y = -24 + 8y + -8y Combine like terms: -1y + -8y = -9y 30 + -9y = -24 + 8y + -8y Combine like terms: 8y + -8y = 0 30 + -9y = -24 + 0 30 + -9y = -24 Add '-30' to each side of the equation. 30 + -30 + -9y = -24 + -30 Combine like terms: 30 + -30 = 0 0 + -9y = -24 + -30 -9y = -24 + -30 Combine like terms: -24 + -30 = -54 -9y = -54 Divide each side by '-9'. y = 6 Simplifying y = 6
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