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Simplifying 7(y + 5) + y = 4(y + 4) + 2 Reorder the terms: 7(5 + y) + y = 4(y + 4) + 2 (5 * 7 + y * 7) + y = 4(y + 4) + 2 (35 + 7y) + y = 4(y + 4) + 2 Combine like terms: 7y + y = 8y 35 + 8y = 4(y + 4) + 2 Reorder the terms: 35 + 8y = 4(4 + y) + 2 35 + 8y = (4 * 4 + y * 4) + 2 35 + 8y = (16 + 4y) + 2 Reorder the terms: 35 + 8y = 16 + 2 + 4y Combine like terms: 16 + 2 = 18 35 + 8y = 18 + 4y Solving 35 + 8y = 18 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 35 + 8y + -4y = 18 + 4y + -4y Combine like terms: 8y + -4y = 4y 35 + 4y = 18 + 4y + -4y Combine like terms: 4y + -4y = 0 35 + 4y = 18 + 0 35 + 4y = 18 Add '-35' to each side of the equation. 35 + -35 + 4y = 18 + -35 Combine like terms: 35 + -35 = 0 0 + 4y = 18 + -35 4y = 18 + -35 Combine like terms: 18 + -35 = -17 4y = -17 Divide each side by '4'. y = -4.25 Simplifying y = -4.25
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