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Simplifying y + (2x + -3) = 3x + 4(2y + 1) Reorder the terms: y + (-3 + 2x) = 3x + 4(2y + 1) Remove parenthesis around (-3 + 2x) y + -3 + 2x = 3x + 4(2y + 1) Reorder the terms: -3 + 2x + y = 3x + 4(2y + 1) Reorder the terms: -3 + 2x + y = 3x + 4(1 + 2y) -3 + 2x + y = 3x + (1 * 4 + 2y * 4) -3 + 2x + y = 3x + (4 + 8y) Reorder the terms: -3 + 2x + y = 4 + 3x + 8y Solving -3 + 2x + y = 4 + 3x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 2x + -3x + y = 4 + 3x + -3x + 8y Combine like terms: 2x + -3x = -1x -3 + -1x + y = 4 + 3x + -3x + 8y Combine like terms: 3x + -3x = 0 -3 + -1x + y = 4 + 0 + 8y -3 + -1x + y = 4 + 8y Add '3' to each side of the equation. -3 + -1x + 3 + y = 4 + 3 + 8y Reorder the terms: -3 + 3 + -1x + y = 4 + 3 + 8y Combine like terms: -3 + 3 = 0 0 + -1x + y = 4 + 3 + 8y -1x + y = 4 + 3 + 8y Combine like terms: 4 + 3 = 7 -1x + y = 7 + 8y Add '-1y' to each side of the equation. -1x + y + -1y = 7 + 8y + -1y Combine like terms: y + -1y = 0 -1x + 0 = 7 + 8y + -1y -1x = 7 + 8y + -1y Combine like terms: 8y + -1y = 7y -1x = 7 + 7y Divide each side by '-1'. x = -7 + -7y Simplifying x = -7 + -7y
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