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Simplifying y + -10 + 50 = 7y + 5 + -1 Reorder the terms: -10 + 50 + y = 7y + 5 + -1 Combine like terms: -10 + 50 = 40 40 + y = 7y + 5 + -1 Reorder the terms: 40 + y = 5 + -1 + 7y Combine like terms: 5 + -1 = 4 40 + y = 4 + 7y Solving 40 + y = 4 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 40 + y + -7y = 4 + 7y + -7y Combine like terms: y + -7y = -6y 40 + -6y = 4 + 7y + -7y Combine like terms: 7y + -7y = 0 40 + -6y = 4 + 0 40 + -6y = 4 Add '-40' to each side of the equation. 40 + -40 + -6y = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -6y = 4 + -40 -6y = 4 + -40 Combine like terms: 4 + -40 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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