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Simplifying 4(y + -6) + 5(y + 4) = 68 Reorder the terms: 4(-6 + y) + 5(y + 4) = 68 (-6 * 4 + y * 4) + 5(y + 4) = 68 (-24 + 4y) + 5(y + 4) = 68 Reorder the terms: -24 + 4y + 5(4 + y) = 68 -24 + 4y + (4 * 5 + y * 5) = 68 -24 + 4y + (20 + 5y) = 68 Reorder the terms: -24 + 20 + 4y + 5y = 68 Combine like terms: -24 + 20 = -4 -4 + 4y + 5y = 68 Combine like terms: 4y + 5y = 9y -4 + 9y = 68 Solving -4 + 9y = 68 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9y = 68 + 4 Combine like terms: -4 + 4 = 0 0 + 9y = 68 + 4 9y = 68 + 4 Combine like terms: 68 + 4 = 72 9y = 72 Divide each side by '9'. y = 8 Simplifying y = 8
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