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Simplifying 3y + -1 + y + 37 = 8y + 40 + -6y Reorder the terms: -1 + 37 + 3y + y = 8y + 40 + -6y Combine like terms: -1 + 37 = 36 36 + 3y + y = 8y + 40 + -6y Combine like terms: 3y + y = 4y 36 + 4y = 8y + 40 + -6y Reorder the terms: 36 + 4y = 40 + 8y + -6y Combine like terms: 8y + -6y = 2y 36 + 4y = 40 + 2y Solving 36 + 4y = 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. 36 + 4y + -2y = 40 + 2y + -2y Combine like terms: 4y + -2y = 2y 36 + 2y = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 36 + 2y = 40 + 0 36 + 2y = 40 Add '-36' to each side of the equation. 36 + -36 + 2y = 40 + -36 Combine like terms: 36 + -36 = 0 0 + 2y = 40 + -36 2y = 40 + -36 Combine like terms: 40 + -36 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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