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Simplifying 7(y + -6) + 3(y + 2) = 54 Reorder the terms: 7(-6 + y) + 3(y + 2) = 54 (-6 * 7 + y * 7) + 3(y + 2) = 54 (-42 + 7y) + 3(y + 2) = 54 Reorder the terms: -42 + 7y + 3(2 + y) = 54 -42 + 7y + (2 * 3 + y * 3) = 54 -42 + 7y + (6 + 3y) = 54 Reorder the terms: -42 + 6 + 7y + 3y = 54 Combine like terms: -42 + 6 = -36 -36 + 7y + 3y = 54 Combine like terms: 7y + 3y = 10y -36 + 10y = 54 Solving -36 + 10y = 54 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 10y = 54 + 36 Combine like terms: -36 + 36 = 0 0 + 10y = 54 + 36 10y = 54 + 36 Combine like terms: 54 + 36 = 90 10y = 90 Divide each side by '10'. y = 9 Simplifying y = 9
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