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Simplifying 8(y + -3) = 4y + -40 Reorder the terms: 8(-3 + y) = 4y + -40 (-3 * 8 + y * 8) = 4y + -40 (-24 + 8y) = 4y + -40 Reorder the terms: -24 + 8y = -40 + 4y Solving -24 + 8y = -40 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -24 + 8y + -4y = -40 + 4y + -4y Combine like terms: 8y + -4y = 4y -24 + 4y = -40 + 4y + -4y Combine like terms: 4y + -4y = 0 -24 + 4y = -40 + 0 -24 + 4y = -40 Add '24' to each side of the equation. -24 + 24 + 4y = -40 + 24 Combine like terms: -24 + 24 = 0 0 + 4y = -40 + 24 4y = -40 + 24 Combine like terms: -40 + 24 = -16 4y = -16 Divide each side by '4'. y = -4 Simplifying y = -4
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