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Simplifying 4x + y + 1 = 7(y + -1) Reorder the terms: 1 + 4x + y = 7(y + -1) Reorder the terms: 1 + 4x + y = 7(-1 + y) 1 + 4x + y = (-1 * 7 + y * 7) 1 + 4x + y = (-7 + 7y) Solving 1 + 4x + y = -7 + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4x + -1 + y = -7 + -1 + 7y Reorder the terms: 1 + -1 + 4x + y = -7 + -1 + 7y Combine like terms: 1 + -1 = 0 0 + 4x + y = -7 + -1 + 7y 4x + y = -7 + -1 + 7y Combine like terms: -7 + -1 = -8 4x + y = -8 + 7y Add '-1y' to each side of the equation. 4x + y + -1y = -8 + 7y + -1y Combine like terms: y + -1y = 0 4x + 0 = -8 + 7y + -1y 4x = -8 + 7y + -1y Combine like terms: 7y + -1y = 6y 4x = -8 + 6y Divide each side by '4'. x = -2 + 1.5y Simplifying x = -2 + 1.5y
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