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Simplifying 3y + 4y + -23 = 6y + -9y + 37 Reorder the terms: -23 + 3y + 4y = 6y + -9y + 37 Combine like terms: 3y + 4y = 7y -23 + 7y = 6y + -9y + 37 Reorder the terms: -23 + 7y = 37 + 6y + -9y Combine like terms: 6y + -9y = -3y -23 + 7y = 37 + -3y Solving -23 + 7y = 37 + -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. -23 + 7y + 3y = 37 + -3y + 3y Combine like terms: 7y + 3y = 10y -23 + 10y = 37 + -3y + 3y Combine like terms: -3y + 3y = 0 -23 + 10y = 37 + 0 -23 + 10y = 37 Add '23' to each side of the equation. -23 + 23 + 10y = 37 + 23 Combine like terms: -23 + 23 = 0 0 + 10y = 37 + 23 10y = 37 + 23 Combine like terms: 37 + 23 = 60 10y = 60 Divide each side by '10'. y = 6 Simplifying y = 6
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