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Simplifying 5y + -10 + y + 57 = 6y + 42 + -3y Reorder the terms: -10 + 57 + 5y + y = 6y + 42 + -3y Combine like terms: -10 + 57 = 47 47 + 5y + y = 6y + 42 + -3y Combine like terms: 5y + y = 6y 47 + 6y = 6y + 42 + -3y Reorder the terms: 47 + 6y = 42 + 6y + -3y Combine like terms: 6y + -3y = 3y 47 + 6y = 42 + 3y Solving 47 + 6y = 42 + 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. 47 + 6y + -3y = 42 + 3y + -3y Combine like terms: 6y + -3y = 3y 47 + 3y = 42 + 3y + -3y Combine like terms: 3y + -3y = 0 47 + 3y = 42 + 0 47 + 3y = 42 Add '-47' to each side of the equation. 47 + -47 + 3y = 42 + -47 Combine like terms: 47 + -47 = 0 0 + 3y = 42 + -47 3y = 42 + -47 Combine like terms: 42 + -47 = -5 3y = -5 Divide each side by '3'. y = -1.666666667 Simplifying y = -1.666666667
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