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Simplifying 5y + -7 + y + 51 = 8y + 50 + -4x Reorder the terms: -7 + 51 + 5y + y = 8y + 50 + -4x Combine like terms: -7 + 51 = 44 44 + 5y + y = 8y + 50 + -4x Combine like terms: 5y + y = 6y 44 + 6y = 8y + 50 + -4x Reorder the terms: 44 + 6y = 50 + -4x + 8y Solving 44 + 6y = 50 + -4x + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 44 + 6y + -8y = 50 + -4x + 8y + -8y Combine like terms: 6y + -8y = -2y 44 + -2y = 50 + -4x + 8y + -8y Combine like terms: 8y + -8y = 0 44 + -2y = 50 + -4x + 0 44 + -2y = 50 + -4x Add '-44' to each side of the equation. 44 + -44 + -2y = 50 + -44 + -4x Combine like terms: 44 + -44 = 0 0 + -2y = 50 + -44 + -4x -2y = 50 + -44 + -4x Combine like terms: 50 + -44 = 6 -2y = 6 + -4x Divide each side by '-2'. y = -3 + 2x Simplifying y = -3 + 2x
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