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Simplifying 5(y + -3) + 4(y + 2) = 47 Reorder the terms: 5(-3 + y) + 4(y + 2) = 47 (-3 * 5 + y * 5) + 4(y + 2) = 47 (-15 + 5y) + 4(y + 2) = 47 Reorder the terms: -15 + 5y + 4(2 + y) = 47 -15 + 5y + (2 * 4 + y * 4) = 47 -15 + 5y + (8 + 4y) = 47 Reorder the terms: -15 + 8 + 5y + 4y = 47 Combine like terms: -15 + 8 = -7 -7 + 5y + 4y = 47 Combine like terms: 5y + 4y = 9y -7 + 9y = 47 Solving -7 + 9y = 47 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9y = 47 + 7 Combine like terms: -7 + 7 = 0 0 + 9y = 47 + 7 9y = 47 + 7 Combine like terms: 47 + 7 = 54 9y = 54 Divide each side by '9'. y = 6 Simplifying y = 6
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