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Simplifying 4y + -4 + y + 51 = 7y + 50 + -5y Reorder the terms: -4 + 51 + 4y + y = 7y + 50 + -5y Combine like terms: -4 + 51 = 47 47 + 4y + y = 7y + 50 + -5y Combine like terms: 4y + y = 5y 47 + 5y = 7y + 50 + -5y Reorder the terms: 47 + 5y = 50 + 7y + -5y Combine like terms: 7y + -5y = 2y 47 + 5y = 50 + 2y Solving 47 + 5y = 50 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 47 + 5y + -2y = 50 + 2y + -2y Combine like terms: 5y + -2y = 3y 47 + 3y = 50 + 2y + -2y Combine like terms: 2y + -2y = 0 47 + 3y = 50 + 0 47 + 3y = 50 Add '-47' to each side of the equation. 47 + -47 + 3y = 50 + -47 Combine like terms: 47 + -47 = 0 0 + 3y = 50 + -47 3y = 50 + -47 Combine like terms: 50 + -47 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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