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Simplifying 5y + -3 + y = 42 + 2y + -5y Reorder the terms: -3 + 5y + y = 42 + 2y + -5y Combine like terms: 5y + y = 6y -3 + 6y = 42 + 2y + -5y Combine like terms: 2y + -5y = -3y -3 + 6y = 42 + -3y Solving -3 + 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. -3 + 6y + 3y = 42 + -3y + 3y Combine like terms: 6y + 3y = 9y -3 + 9y = 42 + -3y + 3y Combine like terms: -3y + 3y = 0 -3 + 9y = 42 + 0 -3 + 9y = 42 Add '3' to each side of the equation. -3 + 3 + 9y = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 9y = 42 + 3 9y = 42 + 3 Combine like terms: 42 + 3 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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