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Simplifying 3(y + -4) + 4(y + 2) = 24 Reorder the terms: 3(-4 + y) + 4(y + 2) = 24 (-4 * 3 + y * 3) + 4(y + 2) = 24 (-12 + 3y) + 4(y + 2) = 24 Reorder the terms: -12 + 3y + 4(2 + y) = 24 -12 + 3y + (2 * 4 + y * 4) = 24 -12 + 3y + (8 + 4y) = 24 Reorder the terms: -12 + 8 + 3y + 4y = 24 Combine like terms: -12 + 8 = -4 -4 + 3y + 4y = 24 Combine like terms: 3y + 4y = 7y -4 + 7y = 24 Solving -4 + 7y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7y = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 7y = 24 + 4 7y = 24 + 4 Combine like terms: 24 + 4 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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