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Simplifying -4y + -7 + y + 27 = 5y + 20 + -2y Reorder the terms: -7 + 27 + -4y + y = 5y + 20 + -2y Combine like terms: -7 + 27 = 20 20 + -4y + y = 5y + 20 + -2y Combine like terms: -4y + y = -3y 20 + -3y = 5y + 20 + -2y Reorder the terms: 20 + -3y = 20 + 5y + -2y Combine like terms: 5y + -2y = 3y 20 + -3y = 20 + 3y Add '-20' to each side of the equation. 20 + -20 + -3y = 20 + -20 + 3y Combine like terms: 20 + -20 = 0 0 + -3y = 20 + -20 + 3y -3y = 20 + -20 + 3y Combine like terms: 20 + -20 = 0 -3y = 0 + 3y -3y = 3y Solving -3y = 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. -3y + -3y = 3y + -3y Combine like terms: -3y + -3y = -6y -6y = 3y + -3y Combine like terms: 3y + -3y = 0 -6y = 0 Divide each side by '-6'. y = 0 Simplifying y = 0
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