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Simplifying 4(x + -1) + y = 3(y + 1) Reorder the terms: 4(-1 + x) + y = 3(y + 1) (-1 * 4 + x * 4) + y = 3(y + 1) (-4 + 4x) + y = 3(y + 1) Reorder the terms: -4 + 4x + y = 3(1 + y) -4 + 4x + y = (1 * 3 + y * 3) -4 + 4x + y = (3 + 3y) Solving -4 + 4x + y = 3 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4x + 4 + y = 3 + 4 + 3y Reorder the terms: -4 + 4 + 4x + y = 3 + 4 + 3y Combine like terms: -4 + 4 = 0 0 + 4x + y = 3 + 4 + 3y 4x + y = 3 + 4 + 3y Combine like terms: 3 + 4 = 7 4x + y = 7 + 3y Add '-1y' to each side of the equation. 4x + y + -1y = 7 + 3y + -1y Combine like terms: y + -1y = 0 4x + 0 = 7 + 3y + -1y 4x = 7 + 3y + -1y Combine like terms: 3y + -1y = 2y 4x = 7 + 2y Divide each side by '4'. x = 1.75 + 0.5y Simplifying x = 1.75 + 0.5y
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