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Simplifying 8(y + 4) + y = 3(y + 3) + -4 Reorder the terms: 8(4 + y) + y = 3(y + 3) + -4 (4 * 8 + y * 8) + y = 3(y + 3) + -4 (32 + 8y) + y = 3(y + 3) + -4 Combine like terms: 8y + y = 9y 32 + 9y = 3(y + 3) + -4 Reorder the terms: 32 + 9y = 3(3 + y) + -4 32 + 9y = (3 * 3 + y * 3) + -4 32 + 9y = (9 + 3y) + -4 Reorder the terms: 32 + 9y = 9 + -4 + 3y Combine like terms: 9 + -4 = 5 32 + 9y = 5 + 3y Solving 32 + 9y = 5 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 32 + 9y + -3y = 5 + 3y + -3y Combine like terms: 9y + -3y = 6y 32 + 6y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 32 + 6y = 5 + 0 32 + 6y = 5 Add '-32' to each side of the equation. 32 + -32 + 6y = 5 + -32 Combine like terms: 32 + -32 = 0 0 + 6y = 5 + -32 6y = 5 + -32 Combine like terms: 5 + -32 = -27 6y = -27 Divide each side by '6'. y = -4.5 Simplifying y = -4.5
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