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Simplifying 3(y + -24) + 3(y + -2) = 24 Reorder the terms: 3(-24 + y) + 3(y + -2) = 24 (-24 * 3 + y * 3) + 3(y + -2) = 24 (-72 + 3y) + 3(y + -2) = 24 Reorder the terms: -72 + 3y + 3(-2 + y) = 24 -72 + 3y + (-2 * 3 + y * 3) = 24 -72 + 3y + (-6 + 3y) = 24 Reorder the terms: -72 + -6 + 3y + 3y = 24 Combine like terms: -72 + -6 = -78 -78 + 3y + 3y = 24 Combine like terms: 3y + 3y = 6y -78 + 6y = 24 Solving -78 + 6y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 6y = 24 + 78 Combine like terms: -78 + 78 = 0 0 + 6y = 24 + 78 6y = 24 + 78 Combine like terms: 24 + 78 = 102 6y = 102 Divide each side by '6'. y = 17 Simplifying y = 17
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