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Simplifying 8x + -8(x + 3) = (7y + -1) * 3 Reorder the terms: 8x + -8(3 + x) = (7y + -1) * 3 8x + (3 * -8 + x * -8) = (7y + -1) * 3 8x + (-24 + -8x) = (7y + -1) * 3 Reorder the terms: -24 + 8x + -8x = (7y + -1) * 3 Combine like terms: 8x + -8x = 0 -24 + 0 = (7y + -1) * 3 -24 = (7y + -1) * 3 Reorder the terms: -24 = (-1 + 7y) * 3 Reorder the terms for easier multiplication: -24 = 3(-1 + 7y) -24 = (-1 * 3 + 7y * 3) -24 = (-3 + 21y) Solving -24 = -3 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -24 + -21y = -3 + 21y + -21y Combine like terms: 21y + -21y = 0 -24 + -21y = -3 + 0 -24 + -21y = -3 Add '24' to each side of the equation. -24 + 24 + -21y = -3 + 24 Combine like terms: -24 + 24 = 0 0 + -21y = -3 + 24 -21y = -3 + 24 Combine like terms: -3 + 24 = 21 -21y = 21 Divide each side by '-21'. y = -1 Simplifying y = -1
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