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Simplifying 9(y + -4) + 7(y + 1) = 19 Reorder the terms: 9(-4 + y) + 7(y + 1) = 19 (-4 * 9 + y * 9) + 7(y + 1) = 19 (-36 + 9y) + 7(y + 1) = 19 Reorder the terms: -36 + 9y + 7(1 + y) = 19 -36 + 9y + (1 * 7 + y * 7) = 19 -36 + 9y + (7 + 7y) = 19 Reorder the terms: -36 + 7 + 9y + 7y = 19 Combine like terms: -36 + 7 = -29 -29 + 9y + 7y = 19 Combine like terms: 9y + 7y = 16y -29 + 16y = 19 Solving -29 + 16y = 19 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 16y = 19 + 29 Combine like terms: -29 + 29 = 0 0 + 16y = 19 + 29 16y = 19 + 29 Combine like terms: 19 + 29 = 48 16y = 48 Divide each side by '16'. y = 3 Simplifying y = 3
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