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Simplifying 7(y + 5) + 5 = 2y + 10 Reorder the terms: 7(5 + y) + 5 = 2y + 10 (5 * 7 + y * 7) + 5 = 2y + 10 (35 + 7y) + 5 = 2y + 10 Reorder the terms: 35 + 5 + 7y = 2y + 10 Combine like terms: 35 + 5 = 40 40 + 7y = 2y + 10 Reorder the terms: 40 + 7y = 10 + 2y Solving 40 + 7y = 10 + 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. 40 + 7y + -2y = 10 + 2y + -2y Combine like terms: 7y + -2y = 5y 40 + 5y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 40 + 5y = 10 + 0 40 + 5y = 10 Add '-40' to each side of the equation. 40 + -40 + 5y = 10 + -40 Combine like terms: 40 + -40 = 0 0 + 5y = 10 + -40 5y = 10 + -40 Combine like terms: 10 + -40 = -30 5y = -30 Divide each side by '5'. y = -6 Simplifying y = -6
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