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Simplifying 6(y + 5) + y = 2(y + 5) + -4 Reorder the terms: 6(5 + y) + y = 2(y + 5) + -4 (5 * 6 + y * 6) + y = 2(y + 5) + -4 (30 + 6y) + y = 2(y + 5) + -4 Combine like terms: 6y + y = 7y 30 + 7y = 2(y + 5) + -4 Reorder the terms: 30 + 7y = 2(5 + y) + -4 30 + 7y = (5 * 2 + y * 2) + -4 30 + 7y = (10 + 2y) + -4 Reorder the terms: 30 + 7y = 10 + -4 + 2y Combine like terms: 10 + -4 = 6 30 + 7y = 6 + 2y Solving 30 + 7y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 30 + 7y + -2y = 6 + 2y + -2y Combine like terms: 7y + -2y = 5y 30 + 5y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 30 + 5y = 6 + 0 30 + 5y = 6 Add '-30' to each side of the equation. 30 + -30 + 5y = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 5y = 6 + -30 5y = 6 + -30 Combine like terms: 6 + -30 = -24 5y = -24 Divide each side by '5'. y = -4.8 Simplifying y = -4.8
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