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Simplifying 5(y + -4) + -2(y + 2) = 12 Reorder the terms: 5(-4 + y) + -2(y + 2) = 12 (-4 * 5 + y * 5) + -2(y + 2) = 12 (-20 + 5y) + -2(y + 2) = 12 Reorder the terms: -20 + 5y + -2(2 + y) = 12 -20 + 5y + (2 * -2 + y * -2) = 12 -20 + 5y + (-4 + -2y) = 12 Reorder the terms: -20 + -4 + 5y + -2y = 12 Combine like terms: -20 + -4 = -24 -24 + 5y + -2y = 12 Combine like terms: 5y + -2y = 3y -24 + 3y = 12 Solving -24 + 3y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 3y = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 3y = 12 + 24 3y = 12 + 24 Combine like terms: 12 + 24 = 36 3y = 36 Divide each side by '3'. y = 12 Simplifying y = 12
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