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Simplifying 4(2y + 1) + -1(3 + -1y) = 7 Reorder the terms: 4(1 + 2y) + -1(3 + -1y) = 7 (1 * 4 + 2y * 4) + -1(3 + -1y) = 7 (4 + 8y) + -1(3 + -1y) = 7 4 + 8y + (3 * -1 + -1y * -1) = 7 4 + 8y + (-3 + 1y) = 7 Reorder the terms: 4 + -3 + 8y + 1y = 7 Combine like terms: 4 + -3 = 1 1 + 8y + 1y = 7 Combine like terms: 8y + 1y = 9y 1 + 9y = 7 Solving 1 + 9y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9y = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 9y = 7 + -1 9y = 7 + -1 Combine like terms: 7 + -1 = 6 9y = 6 Divide each side by '9'. y = 0.6666666667 Simplifying y = 0.6666666667
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