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Simplifying 7(y + 9) + y = 4(y + 2) + -2 Reorder the terms: 7(9 + y) + y = 4(y + 2) + -2 (9 * 7 + y * 7) + y = 4(y + 2) + -2 (63 + 7y) + y = 4(y + 2) + -2 Combine like terms: 7y + y = 8y 63 + 8y = 4(y + 2) + -2 Reorder the terms: 63 + 8y = 4(2 + y) + -2 63 + 8y = (2 * 4 + y * 4) + -2 63 + 8y = (8 + 4y) + -2 Reorder the terms: 63 + 8y = 8 + -2 + 4y Combine like terms: 8 + -2 = 6 63 + 8y = 6 + 4y Solving 63 + 8y = 6 + 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. 63 + 8y + -4y = 6 + 4y + -4y Combine like terms: 8y + -4y = 4y 63 + 4y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 63 + 4y = 6 + 0 63 + 4y = 6 Add '-63' to each side of the equation. 63 + -63 + 4y = 6 + -63 Combine like terms: 63 + -63 = 0 0 + 4y = 6 + -63 4y = 6 + -63 Combine like terms: 6 + -63 = -57 4y = -57 Divide each side by '4'. y = -14.25 Simplifying y = -14.25
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