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Simplifying 6(y + 5) + y = 4(y + 2) + -5 Reorder the terms: 6(5 + y) + y = 4(y + 2) + -5 (5 * 6 + y * 6) + y = 4(y + 2) + -5 (30 + 6y) + y = 4(y + 2) + -5 Combine like terms: 6y + y = 7y 30 + 7y = 4(y + 2) + -5 Reorder the terms: 30 + 7y = 4(2 + y) + -5 30 + 7y = (2 * 4 + y * 4) + -5 30 + 7y = (8 + 4y) + -5 Reorder the terms: 30 + 7y = 8 + -5 + 4y Combine like terms: 8 + -5 = 3 30 + 7y = 3 + 4y Solving 30 + 7y = 3 + 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. 30 + 7y + -4y = 3 + 4y + -4y Combine like terms: 7y + -4y = 3y 30 + 3y = 3 + 4y + -4y Combine like terms: 4y + -4y = 0 30 + 3y = 3 + 0 30 + 3y = 3 Add '-30' to each side of the equation. 30 + -30 + 3y = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 3y = 3 + -30 3y = 3 + -30 Combine like terms: 3 + -30 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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