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Simplifying 15y + 7 = 2(5y + 6) Reorder the terms: 7 + 15y = 2(5y + 6) Reorder the terms: 7 + 15y = 2(6 + 5y) 7 + 15y = (6 * 2 + 5y * 2) 7 + 15y = (12 + 10y) Solving 7 + 15y = 12 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 7 + 15y + -10y = 12 + 10y + -10y Combine like terms: 15y + -10y = 5y 7 + 5y = 12 + 10y + -10y Combine like terms: 10y + -10y = 0 7 + 5y = 12 + 0 7 + 5y = 12 Add '-7' to each side of the equation. 7 + -7 + 5y = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = 12 + -7 5y = 12 + -7 Combine like terms: 12 + -7 = 5 5y = 5 Divide each side by '5'. y = 1 Simplifying y = 1
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