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Simplifying 4y + 8 + 3 + -2y = 7(5y + 7) Reorder the terms: 8 + 3 + 4y + -2y = 7(5y + 7) Combine like terms: 8 + 3 = 11 11 + 4y + -2y = 7(5y + 7) Combine like terms: 4y + -2y = 2y 11 + 2y = 7(5y + 7) Reorder the terms: 11 + 2y = 7(7 + 5y) 11 + 2y = (7 * 7 + 5y * 7) 11 + 2y = (49 + 35y) Solving 11 + 2y = 49 + 35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35y' to each side of the equation. 11 + 2y + -35y = 49 + 35y + -35y Combine like terms: 2y + -35y = -33y 11 + -33y = 49 + 35y + -35y Combine like terms: 35y + -35y = 0 11 + -33y = 49 + 0 11 + -33y = 49 Add '-11' to each side of the equation. 11 + -11 + -33y = 49 + -11 Combine like terms: 11 + -11 = 0 0 + -33y = 49 + -11 -33y = 49 + -11 Combine like terms: 49 + -11 = 38 -33y = 38 Divide each side by '-33'. y = -1.151515152 Simplifying y = -1.151515152
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