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Simplifying 6(y + 5) = 7y + 15 Reorder the terms: 6(5 + y) = 7y + 15 (5 * 6 + y * 6) = 7y + 15 (30 + 6y) = 7y + 15 Reorder the terms: 30 + 6y = 15 + 7y Solving 30 + 6y = 15 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 30 + 6y + -7y = 15 + 7y + -7y Combine like terms: 6y + -7y = -1y 30 + -1y = 15 + 7y + -7y Combine like terms: 7y + -7y = 0 30 + -1y = 15 + 0 30 + -1y = 15 Add '-30' to each side of the equation. 30 + -30 + -1y = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = 15 + -30 -1y = 15 + -30 Combine like terms: 15 + -30 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15
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