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Simplifying 8(y + -3) = 2y + -42 Reorder the terms: 8(-3 + y) = 2y + -42 (-3 * 8 + y * 8) = 2y + -42 (-24 + 8y) = 2y + -42 Reorder the terms: -24 + 8y = -42 + 2y Solving -24 + 8y = -42 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -24 + 8y + -2y = -42 + 2y + -2y Combine like terms: 8y + -2y = 6y -24 + 6y = -42 + 2y + -2y Combine like terms: 2y + -2y = 0 -24 + 6y = -42 + 0 -24 + 6y = -42 Add '24' to each side of the equation. -24 + 24 + 6y = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 6y = -42 + 24 6y = -42 + 24 Combine like terms: -42 + 24 = -18 6y = -18 Divide each side by '6'. y = -3 Simplifying y = -3
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