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Simplifying 2(y + 2) + 3(3y + 3) = 5(5y + 5) Reorder the terms: 2(2 + y) + 3(3y + 3) = 5(5y + 5) (2 * 2 + y * 2) + 3(3y + 3) = 5(5y + 5) (4 + 2y) + 3(3y + 3) = 5(5y + 5) Reorder the terms: 4 + 2y + 3(3 + 3y) = 5(5y + 5) 4 + 2y + (3 * 3 + 3y * 3) = 5(5y + 5) 4 + 2y + (9 + 9y) = 5(5y + 5) Reorder the terms: 4 + 9 + 2y + 9y = 5(5y + 5) Combine like terms: 4 + 9 = 13 13 + 2y + 9y = 5(5y + 5) Combine like terms: 2y + 9y = 11y 13 + 11y = 5(5y + 5) Reorder the terms: 13 + 11y = 5(5 + 5y) 13 + 11y = (5 * 5 + 5y * 5) 13 + 11y = (25 + 25y) Solving 13 + 11y = 25 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. 13 + 11y + -25y = 25 + 25y + -25y Combine like terms: 11y + -25y = -14y 13 + -14y = 25 + 25y + -25y Combine like terms: 25y + -25y = 0 13 + -14y = 25 + 0 13 + -14y = 25 Add '-13' to each side of the equation. 13 + -13 + -14y = 25 + -13 Combine like terms: 13 + -13 = 0 0 + -14y = 25 + -13 -14y = 25 + -13 Combine like terms: 25 + -13 = 12 -14y = 12 Divide each side by '-14'. y = -0.8571428571 Simplifying y = -0.8571428571
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