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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 = -42 -42 + 6y + 9y = 114 Combine like terms: 6y + 9y = 15y -42 + 15y = 114 Solving -42 + 15y = 114 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 15y = 114 + 42 Combine like terms: -42 + 42 = 0 0 + 15y = 114 + 42 15y = 114 + 42 Combine like terms: 114 + 42 = 156 15y = 156 Divide each side by '15'. y = 10.4 Simplifying y = 10.4
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