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Simplifying Y + 3(7y + 5) = 15(y + 1) + 5y Reorder the terms: Y + 3(5 + 7y) = 15(y + 1) + 5y Y + (5 * 3 + 7y * 3) = 15(y + 1) + 5y Y + (15 + 21y) = 15(y + 1) + 5y Reorder the terms: 15 + Y + 21y = 15(y + 1) + 5y Reorder the terms: 15 + Y + 21y = 15(1 + y) + 5y 15 + Y + 21y = (1 * 15 + y * 15) + 5y 15 + Y + 21y = (15 + 15y) + 5y Combine like terms: 15y + 5y = 20y 15 + Y + 21y = 15 + 20y Add '-15' to each side of the equation. 15 + Y + -15 + 21y = 15 + -15 + 20y Reorder the terms: 15 + -15 + Y + 21y = 15 + -15 + 20y Combine like terms: 15 + -15 = 0 0 + Y + 21y = 15 + -15 + 20y Y + 21y = 15 + -15 + 20y Combine like terms: 15 + -15 = 0 Y + 21y = 0 + 20y Y + 21y = 20y Solving Y + 21y = 20y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-21y' to each side of the equation. Y + 21y + -21y = 20y + -21y Combine like terms: 21y + -21y = 0 Y + 0 = 20y + -21y Y = 20y + -21y Combine like terms: 20y + -21y = -1y Y = -1y Simplifying Y = -1y
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