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Simplifying 7(y + 2) + y = 4(y + 2) + 7 Reorder the terms: 7(2 + y) + y = 4(y + 2) + 7 (2 * 7 + y * 7) + y = 4(y + 2) + 7 (14 + 7y) + y = 4(y + 2) + 7 Combine like terms: 7y + y = 8y 14 + 8y = 4(y + 2) + 7 Reorder the terms: 14 + 8y = 4(2 + y) + 7 14 + 8y = (2 * 4 + y * 4) + 7 14 + 8y = (8 + 4y) + 7 Reorder the terms: 14 + 8y = 8 + 7 + 4y Combine like terms: 8 + 7 = 15 14 + 8y = 15 + 4y Solving 14 + 8y = 15 + 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. 14 + 8y + -4y = 15 + 4y + -4y Combine like terms: 8y + -4y = 4y 14 + 4y = 15 + 4y + -4y Combine like terms: 4y + -4y = 0 14 + 4y = 15 + 0 14 + 4y = 15 Add '-14' to each side of the equation. 14 + -14 + 4y = 15 + -14 Combine like terms: 14 + -14 = 0 0 + 4y = 15 + -14 4y = 15 + -14 Combine like terms: 15 + -14 = 1 4y = 1 Divide each side by '4'. y = 0.25 Simplifying y = 0.25
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