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Simplifying 3y + -7 + y + 45 = 7y + 40 + -5y Reorder the terms: -7 + 45 + 3y + y = 7y + 40 + -5y Combine like terms: -7 + 45 = 38 38 + 3y + y = 7y + 40 + -5y Combine like terms: 3y + y = 4y 38 + 4y = 7y + 40 + -5y Reorder the terms: 38 + 4y = 40 + 7y + -5y Combine like terms: 7y + -5y = 2y 38 + 4y = 40 + 2y Solving 38 + 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. 38 + 4y + -2y = 40 + 2y + -2y Combine like terms: 4y + -2y = 2y 38 + 2y = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 38 + 2y = 40 + 0 38 + 2y = 40 Add '-38' to each side of the equation. 38 + -38 + 2y = 40 + -38 Combine like terms: 38 + -38 = 0 0 + 2y = 40 + -38 2y = 40 + -38 Combine like terms: 40 + -38 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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