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Simplifying 8(y + -3) = -6y + 32 Reorder the terms: 8(-3 + y) = -6y + 32 (-3 * 8 + y * 8) = -6y + 32 (-24 + 8y) = -6y + 32 Reorder the terms: -24 + 8y = 32 + -6y Solving -24 + 8y = 32 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -24 + 8y + 6y = 32 + -6y + 6y Combine like terms: 8y + 6y = 14y -24 + 14y = 32 + -6y + 6y Combine like terms: -6y + 6y = 0 -24 + 14y = 32 + 0 -24 + 14y = 32 Add '24' to each side of the equation. -24 + 24 + 14y = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 14y = 32 + 24 14y = 32 + 24 Combine like terms: 32 + 24 = 56 14y = 56 Divide each side by '14'. y = 4 Simplifying y = 4
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