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Simplifying 9(y + 1) + 6 = 4m + 4(3m + -2) Reorder the terms: 9(1 + y) + 6 = 4m + 4(3m + -2) (1 * 9 + y * 9) + 6 = 4m + 4(3m + -2) (9 + 9y) + 6 = 4m + 4(3m + -2) Reorder the terms: 9 + 6 + 9y = 4m + 4(3m + -2) Combine like terms: 9 + 6 = 15 15 + 9y = 4m + 4(3m + -2) Reorder the terms: 15 + 9y = 4m + 4(-2 + 3m) 15 + 9y = 4m + (-2 * 4 + 3m * 4) 15 + 9y = 4m + (-8 + 12m) Reorder the terms: 15 + 9y = -8 + 4m + 12m Combine like terms: 4m + 12m = 16m 15 + 9y = -8 + 16m Solving 15 + 9y = -8 + 16m Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 9y = -8 + -15 + 16m Combine like terms: 15 + -15 = 0 0 + 9y = -8 + -15 + 16m 9y = -8 + -15 + 16m Combine like terms: -8 + -15 = -23 9y = -23 + 16m Divide each side by '9'. y = -2.555555556 + 1.777777778m Simplifying y = -2.555555556 + 1.777777778m
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