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Simplifying 4y + -6 + y + 53 = 8y + 50 + -6y Reorder the terms: -6 + 53 + 4y + y = 8y + 50 + -6y Combine like terms: -6 + 53 = 47 47 + 4y + y = 8y + 50 + -6y Combine like terms: 4y + y = 5y 47 + 5y = 8y + 50 + -6y Reorder the terms: 47 + 5y = 50 + 8y + -6y Combine like terms: 8y + -6y = 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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