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Simplifying 6(y + 8) + y = 3(y + 5) + -2 Reorder the terms: 6(8 + y) + y = 3(y + 5) + -2 (8 * 6 + y * 6) + y = 3(y + 5) + -2 (48 + 6y) + y = 3(y + 5) + -2 Combine like terms: 6y + y = 7y 48 + 7y = 3(y + 5) + -2 Reorder the terms: 48 + 7y = 3(5 + y) + -2 48 + 7y = (5 * 3 + y * 3) + -2 48 + 7y = (15 + 3y) + -2 Reorder the terms: 48 + 7y = 15 + -2 + 3y Combine like terms: 15 + -2 = 13 48 + 7y = 13 + 3y Solving 48 + 7y = 13 + 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. 48 + 7y + -3y = 13 + 3y + -3y Combine like terms: 7y + -3y = 4y 48 + 4y = 13 + 3y + -3y Combine like terms: 3y + -3y = 0 48 + 4y = 13 + 0 48 + 4y = 13 Add '-48' to each side of the equation. 48 + -48 + 4y = 13 + -48 Combine like terms: 48 + -48 = 0 0 + 4y = 13 + -48 4y = 13 + -48 Combine like terms: 13 + -48 = -35 4y = -35 Divide each side by '4'. y = -8.75 Simplifying y = -8.75
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