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Simplifying 6(y + -4) + 4(y + 2) = 24 Reorder the terms: 6(-4 + y) + 4(y + 2) = 24 (-4 * 6 + y * 6) + 4(y + 2) = 24 (-24 + 6y) + 4(y + 2) = 24 Reorder the terms: -24 + 6y + 4(2 + y) = 24 -24 + 6y + (2 * 4 + y * 4) = 24 -24 + 6y + (8 + 4y) = 24 Reorder the terms: -24 + 8 + 6y + 4y = 24 Combine like terms: -24 + 8 = -16 -16 + 6y + 4y = 24 Combine like terms: 6y + 4y = 10y -16 + 10y = 24 Solving -16 + 10y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 10y = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 10y = 24 + 16 10y = 24 + 16 Combine like terms: 24 + 16 = 40 10y = 40 Divide each side by '10'. y = 4 Simplifying y = 4
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