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Simplifying 4(y + -6) + 5(y + 2) = 49 Reorder the terms: 4(-6 + y) + 5(y + 2) = 49 (-6 * 4 + y * 4) + 5(y + 2) = 49 (-24 + 4y) + 5(y + 2) = 49 Reorder the terms: -24 + 4y + 5(2 + y) = 49 -24 + 4y + (2 * 5 + y * 5) = 49 -24 + 4y + (10 + 5y) = 49 Reorder the terms: -24 + 10 + 4y + 5y = 49 Combine like terms: -24 + 10 = -14 -14 + 4y + 5y = 49 Combine like terms: 4y + 5y = 9y -14 + 9y = 49 Solving -14 + 9y = 49 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9y = 49 + 14 Combine like terms: -14 + 14 = 0 0 + 9y = 49 + 14 9y = 49 + 14 Combine like terms: 49 + 14 = 63 9y = 63 Divide each side by '9'. y = 7 Simplifying y = 7
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