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Simplifying 3y + 4(y + -6) = 32 Reorder the terms: 3y + 4(-6 + y) = 32 3y + (-6 * 4 + y * 4) = 32 3y + (-24 + 4y) = 32 Reorder the terms: -24 + 3y + 4y = 32 Combine like terms: 3y + 4y = 7y -24 + 7y = 32 Solving -24 + 7y = 32 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 + 7y = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 7y = 32 + 24 7y = 32 + 24 Combine like terms: 32 + 24 = 56 7y = 56 Divide each side by '7'. y = 8 Simplifying y = 8
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