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