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Simplifying 6(y + -5) + 4(y + 3) = 32 Reorder the terms: 6(-5 + y) + 4(y + 3) = 32 (-5 * 6 + y * 6) + 4(y + 3) = 32 (-30 + 6y) + 4(y + 3) = 32 Reorder the terms: -30 + 6y + 4(3 + y) = 32 -30 + 6y + (3 * 4 + y * 4) = 32 -30 + 6y + (12 + 4y) = 32 Reorder the terms: -30 + 12 + 6y + 4y = 32 Combine like terms: -30 + 12 = -18 -18 + 6y + 4y = 32 Combine like terms: 6y + 4y = 10y -18 + 10y = 32 Solving -18 + 10y = 32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 10y = 32 + 18 Combine like terms: -18 + 18 = 0 0 + 10y = 32 + 18 10y = 32 + 18 Combine like terms: 32 + 18 = 50 10y = 50 Divide each side by '10'. y = 5 Simplifying y = 5
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