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Simplifying 9(y + -4) = 2(y + 3) Reorder the terms: 9(-4 + y) = 2(y + 3) (-4 * 9 + y * 9) = 2(y + 3) (-36 + 9y) = 2(y + 3) Reorder the terms: -36 + 9y = 2(3 + y) -36 + 9y = (3 * 2 + y * 2) -36 + 9y = (6 + 2y) Solving -36 + 9y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -36 + 9y + -2y = 6 + 2y + -2y Combine like terms: 9y + -2y = 7y -36 + 7y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 -36 + 7y = 6 + 0 -36 + 7y = 6 Add '36' to each side of the equation. -36 + 36 + 7y = 6 + 36 Combine like terms: -36 + 36 = 0 0 + 7y = 6 + 36 7y = 6 + 36 Combine like terms: 6 + 36 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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