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Simplifying 4(y + -6) + 2(y + -3) = 24 Reorder the terms: 4(-6 + y) + 2(y + -3) = 24 (-6 * 4 + y * 4) + 2(y + -3) = 24 (-24 + 4y) + 2(y + -3) = 24 Reorder the terms: -24 + 4y + 2(-3 + y) = 24 -24 + 4y + (-3 * 2 + y * 2) = 24 -24 + 4y + (-6 + 2y) = 24 Reorder the terms: -24 + -6 + 4y + 2y = 24 Combine like terms: -24 + -6 = -30 -30 + 4y + 2y = 24 Combine like terms: 4y + 2y = 6y -30 + 6y = 24 Solving -30 + 6y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6y = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 6y = 24 + 30 6y = 24 + 30 Combine like terms: 24 + 30 = 54 6y = 54 Divide each side by '6'. y = 9 Simplifying y = 9
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