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Simplifying 3y + 7 + y + 43 = 7y + 40 + -5y Reorder the terms: 7 + 43 + 3y + y = 7y + 40 + -5y Combine like terms: 7 + 43 = 50 50 + 3y + y = 7y + 40 + -5y Combine like terms: 3y + y = 4y 50 + 4y = 7y + 40 + -5y Reorder the terms: 50 + 4y = 40 + 7y + -5y Combine like terms: 7y + -5y = 2y 50 + 4y = 40 + 2y Solving 50 + 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. 50 + 4y + -2y = 40 + 2y + -2y Combine like terms: 4y + -2y = 2y 50 + 2y = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 50 + 2y = 40 + 0 50 + 2y = 40 Add '-50' to each side of the equation. 50 + -50 + 2y = 40 + -50 Combine like terms: 50 + -50 = 0 0 + 2y = 40 + -50 2y = 40 + -50 Combine like terms: 40 + -50 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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