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Simplifying 8(y + 6) + y = 4(y + 5) + 2 Reorder the terms: 8(6 + y) + y = 4(y + 5) + 2 (6 * 8 + y * 8) + y = 4(y + 5) + 2 (48 + 8y) + y = 4(y + 5) + 2 Combine like terms: 8y + y = 9y 48 + 9y = 4(y + 5) + 2 Reorder the terms: 48 + 9y = 4(5 + y) + 2 48 + 9y = (5 * 4 + y * 4) + 2 48 + 9y = (20 + 4y) + 2 Reorder the terms: 48 + 9y = 20 + 2 + 4y Combine like terms: 20 + 2 = 22 48 + 9y = 22 + 4y Solving 48 + 9y = 22 + 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. 48 + 9y + -4y = 22 + 4y + -4y Combine like terms: 9y + -4y = 5y 48 + 5y = 22 + 4y + -4y Combine like terms: 4y + -4y = 0 48 + 5y = 22 + 0 48 + 5y = 22 Add '-48' to each side of the equation. 48 + -48 + 5y = 22 + -48 Combine like terms: 48 + -48 = 0 0 + 5y = 22 + -48 5y = 22 + -48 Combine like terms: 22 + -48 = -26 5y = -26 Divide each side by '5'. y = -5.2 Simplifying y = -5.2
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