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Simplifying 6(y + -4) + 9(y + 2) = 84 Reorder the terms: 6(-4 + y) + 9(y + 2) = 84 (-4 * 6 + y * 6) + 9(y + 2) = 84 (-24 + 6y) + 9(y + 2) = 84 Reorder the terms: -24 + 6y + 9(2 + y) = 84 -24 + 6y + (2 * 9 + y * 9) = 84 -24 + 6y + (18 + 9y) = 84 Reorder the terms: -24 + 18 + 6y + 9y = 84 Combine like terms: -24 + 18 = -6 -6 + 6y + 9y = 84 Combine like terms: 6y + 9y = 15y -6 + 15y = 84 Solving -6 + 15y = 84 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 15y = 84 + 6 Combine like terms: -6 + 6 = 0 0 + 15y = 84 + 6 15y = 84 + 6 Combine like terms: 84 + 6 = 90 15y = 90 Divide each side by '15'. y = 6 Simplifying y = 6
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