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Simplifying 3y + -3 + 37 = 5y + 40 + -3y Reorder the terms: -3 + 37 + 3y = 5y + 40 + -3y Combine like terms: -3 + 37 = 34 34 + 3y = 5y + 40 + -3y Reorder the terms: 34 + 3y = 40 + 5y + -3y Combine like terms: 5y + -3y = 2y 34 + 3y = 40 + 2y Solving 34 + 3y = 40 + 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. 34 + 3y + -2y = 40 + 2y + -2y Combine like terms: 3y + -2y = 1y 34 + 1y = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 34 + 1y = 40 + 0 34 + 1y = 40 Add '-34' to each side of the equation. 34 + -34 + 1y = 40 + -34 Combine like terms: 34 + -34 = 0 0 + 1y = 40 + -34 1y = 40 + -34 Combine like terms: 40 + -34 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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