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Simplifying 5(2y + 5) = 15 + -2(y + -5) Reorder the terms: 5(5 + 2y) = 15 + -2(y + -5) (5 * 5 + 2y * 5) = 15 + -2(y + -5) (25 + 10y) = 15 + -2(y + -5) Reorder the terms: 25 + 10y = 15 + -2(-5 + y) 25 + 10y = 15 + (-5 * -2 + y * -2) 25 + 10y = 15 + (10 + -2y) Combine like terms: 15 + 10 = 25 25 + 10y = 25 + -2y Add '-25' to each side of the equation. 25 + -25 + 10y = 25 + -25 + -2y Combine like terms: 25 + -25 = 0 0 + 10y = 25 + -25 + -2y 10y = 25 + -25 + -2y Combine like terms: 25 + -25 = 0 10y = 0 + -2y 10y = -2y Solving 10y = -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. 10y + 2y = -2y + 2y Combine like terms: 10y + 2y = 12y 12y = -2y + 2y Combine like terms: -2y + 2y = 0 12y = 0 Divide each side by '12'. y = 0 Simplifying y = 0
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