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Simplifying 6(y + -4) + 9(y + 2) = 114 Reorder the terms: 6(-4 + y) + 9(y + 2) = 114 (-4 * 6 + y * 6) + 9(y + 2) = 114 (-24 + 6y) + 9(y + 2) = 114 Reorder the terms: -24 + 6y + 9(2 + y) = 114 -24 + 6y + (2 * 9 + y * 9) = 114 -24 + 6y + (18 + 9y) = 114 Reorder the terms: -24 + 18 + 6y + 9y = 114 Combine like terms: -24 + 18 = -6 -6 + 6y + 9y = 114 Combine like terms: 6y + 9y = 15y -6 + 15y = 114 Solving -6 + 15y = 114 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 = 114 + 6 Combine like terms: -6 + 6 = 0 0 + 15y = 114 + 6 15y = 114 + 6 Combine like terms: 114 + 6 = 120 15y = 120 Divide each side by '15'. y = 8 Simplifying y = 8
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