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Simplifying 4x + 7 + 2x + -4y = 6x + 3y Reorder the terms: 7 + 4x + 2x + -4y = 6x + 3y Combine like terms: 4x + 2x = 6x 7 + 6x + -4y = 6x + 3y Add '-6x' to each side of the equation. 7 + 6x + -6x + -4y = 6x + -6x + 3y Combine like terms: 6x + -6x = 0 7 + 0 + -4y = 6x + -6x + 3y 7 + -4y = 6x + -6x + 3y Combine like terms: 6x + -6x = 0 7 + -4y = 0 + 3y 7 + -4y = 3y Solving 7 + -4y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 7 + -4y + -3y = 3y + -3y Combine like terms: -4y + -3y = -7y 7 + -7y = 3y + -3y Combine like terms: 3y + -3y = 0 7 + -7y = 0 Add '-7' to each side of the equation. 7 + -7 + -7y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7y = 0 + -7 -7y = 0 + -7 Combine like terms: 0 + -7 = -7 -7y = -7 Divide each side by '-7'. y = 1 Simplifying y = 1
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