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Simplifying 9(y + 7) + y = 4(y + 3) + 4 Reorder the terms: 9(7 + y) + y = 4(y + 3) + 4 (7 * 9 + y * 9) + y = 4(y + 3) + 4 (63 + 9y) + y = 4(y + 3) + 4 Combine like terms: 9y + y = 10y 63 + 10y = 4(y + 3) + 4 Reorder the terms: 63 + 10y = 4(3 + y) + 4 63 + 10y = (3 * 4 + y * 4) + 4 63 + 10y = (12 + 4y) + 4 Reorder the terms: 63 + 10y = 12 + 4 + 4y Combine like terms: 12 + 4 = 16 63 + 10y = 16 + 4y Solving 63 + 10y = 16 + 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 + 10y + -4y = 16 + 4y + -4y Combine like terms: 10y + -4y = 6y 63 + 6y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 63 + 6y = 16 + 0 63 + 6y = 16 Add '-63' to each side of the equation. 63 + -63 + 6y = 16 + -63 Combine like terms: 63 + -63 = 0 0 + 6y = 16 + -63 6y = 16 + -63 Combine like terms: 16 + -63 = -47 6y = -47 Divide each side by '6'. y = -7.833333333 Simplifying y = -7.833333333
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