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Simplifying 4y + -6 + 7(y + 1) = -2y + 3 Reorder the terms: 4y + -6 + 7(1 + y) = -2y + 3 4y + -6 + (1 * 7 + y * 7) = -2y + 3 4y + -6 + (7 + 7y) = -2y + 3 Reorder the terms: -6 + 7 + 4y + 7y = -2y + 3 Combine like terms: -6 + 7 = 1 1 + 4y + 7y = -2y + 3 Combine like terms: 4y + 7y = 11y 1 + 11y = -2y + 3 Reorder the terms: 1 + 11y = 3 + -2y Solving 1 + 11y = 3 + -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. 1 + 11y + 2y = 3 + -2y + 2y Combine like terms: 11y + 2y = 13y 1 + 13y = 3 + -2y + 2y Combine like terms: -2y + 2y = 0 1 + 13y = 3 + 0 1 + 13y = 3 Add '-1' to each side of the equation. 1 + -1 + 13y = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 13y = 3 + -1 13y = 3 + -1 Combine like terms: 3 + -1 = 2 13y = 2 Divide each side by '13'. y = 0.1538461538 Simplifying y = 0.1538461538
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