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Simplifying 5(y + 5) = 7 + -3(y + 2) Reorder the terms: 5(5 + y) = 7 + -3(y + 2) (5 * 5 + y * 5) = 7 + -3(y + 2) (25 + 5y) = 7 + -3(y + 2) Reorder the terms: 25 + 5y = 7 + -3(2 + y) 25 + 5y = 7 + (2 * -3 + y * -3) 25 + 5y = 7 + (-6 + -3y) Combine like terms: 7 + -6 = 1 25 + 5y = 1 + -3y Solving 25 + 5y = 1 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 25 + 5y + 3y = 1 + -3y + 3y Combine like terms: 5y + 3y = 8y 25 + 8y = 1 + -3y + 3y Combine like terms: -3y + 3y = 0 25 + 8y = 1 + 0 25 + 8y = 1 Add '-25' to each side of the equation. 25 + -25 + 8y = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 8y = 1 + -25 8y = 1 + -25 Combine like terms: 1 + -25 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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