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Simplifying 2y + 30 = 7(y + 5) Reorder the terms: 30 + 2y = 7(y + 5) Reorder the terms: 30 + 2y = 7(5 + y) 30 + 2y = (5 * 7 + y * 7) 30 + 2y = (35 + 7y) Solving 30 + 2y = 35 + 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 + 2y + -7y = 35 + 7y + -7y Combine like terms: 2y + -7y = -5y 30 + -5y = 35 + 7y + -7y Combine like terms: 7y + -7y = 0 30 + -5y = 35 + 0 30 + -5y = 35 Add '-30' to each side of the equation. 30 + -30 + -5y = 35 + -30 Combine like terms: 30 + -30 = 0 0 + -5y = 35 + -30 -5y = 35 + -30 Combine like terms: 35 + -30 = 5 -5y = 5 Divide each side by '-5'. y = -1 Simplifying y = -1
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