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Simplifying 5(y + 5) = 6(y + -6) Reorder the terms: 5(5 + y) = 6(y + -6) (5 * 5 + y * 5) = 6(y + -6) (25 + 5y) = 6(y + -6) Reorder the terms: 25 + 5y = 6(-6 + y) 25 + 5y = (-6 * 6 + y * 6) 25 + 5y = (-36 + 6y) Solving 25 + 5y = -36 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 25 + 5y + -6y = -36 + 6y + -6y Combine like terms: 5y + -6y = -1y 25 + -1y = -36 + 6y + -6y Combine like terms: 6y + -6y = 0 25 + -1y = -36 + 0 25 + -1y = -36 Add '-25' to each side of the equation. 25 + -25 + -1y = -36 + -25 Combine like terms: 25 + -25 = 0 0 + -1y = -36 + -25 -1y = -36 + -25 Combine like terms: -36 + -25 = -61 -1y = -61 Divide each side by '-1'. y = 61 Simplifying y = 61
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