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Simplifying 7(y + 2) + y = 4(y + 3) + -2 Reorder the terms: 7(2 + y) + y = 4(y + 3) + -2 (2 * 7 + y * 7) + y = 4(y + 3) + -2 (14 + 7y) + y = 4(y + 3) + -2 Combine like terms: 7y + y = 8y 14 + 8y = 4(y + 3) + -2 Reorder the terms: 14 + 8y = 4(3 + y) + -2 14 + 8y = (3 * 4 + y * 4) + -2 14 + 8y = (12 + 4y) + -2 Reorder the terms: 14 + 8y = 12 + -2 + 4y Combine like terms: 12 + -2 = 10 14 + 8y = 10 + 4y Solving 14 + 8y = 10 + 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 = 10 + 4y + -4y Combine like terms: 8y + -4y = 4y 14 + 4y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 14 + 4y = 10 + 0 14 + 4y = 10 Add '-14' to each side of the equation. 14 + -14 + 4y = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 4y = 10 + -14 4y = 10 + -14 Combine like terms: 10 + -14 = -4 4y = -4 Divide each side by '4'. y = -1 Simplifying y = -1
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