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Simplifying 4x + 3y + 7 = 4x + 4y + -6 Reorder the terms: 7 + 4x + 3y = 4x + 4y + -6 Reorder the terms: 7 + 4x + 3y = -6 + 4x + 4y Add '-4x' to each side of the equation. 7 + 4x + -4x + 3y = -6 + 4x + -4x + 4y Combine like terms: 4x + -4x = 0 7 + 0 + 3y = -6 + 4x + -4x + 4y 7 + 3y = -6 + 4x + -4x + 4y Combine like terms: 4x + -4x = 0 7 + 3y = -6 + 0 + 4y 7 + 3y = -6 + 4y Solving 7 + 3y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 7 + 3y + -4y = -6 + 4y + -4y Combine like terms: 3y + -4y = -1y 7 + -1y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 7 + -1y = -6 + 0 7 + -1y = -6 Add '-7' to each side of the equation. 7 + -7 + -1y = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = -6 + -7 -1y = -6 + -7 Combine like terms: -6 + -7 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13
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