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Simplifying 8(y + 3) = 5(x + -6) Reorder the terms: 8(3 + y) = 5(x + -6) (3 * 8 + y * 8) = 5(x + -6) (24 + 8y) = 5(x + -6) Reorder the terms: 24 + 8y = 5(-6 + x) 24 + 8y = (-6 * 5 + x * 5) 24 + 8y = (-30 + 5x) Solving 24 + 8y = -30 + 5x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8y = -30 + -24 + 5x Combine like terms: 24 + -24 = 0 0 + 8y = -30 + -24 + 5x 8y = -30 + -24 + 5x Combine like terms: -30 + -24 = -54 8y = -54 + 5x Divide each side by '8'. y = -6.75 + 0.625x Simplifying y = -6.75 + 0.625x
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