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Simplifying 2(y + 7) = 3(y + -7) + 4x Reorder the terms: 2(7 + y) = 3(y + -7) + 4x (7 * 2 + y * 2) = 3(y + -7) + 4x (14 + 2y) = 3(y + -7) + 4x Reorder the terms: 14 + 2y = 3(-7 + y) + 4x 14 + 2y = (-7 * 3 + y * 3) + 4x 14 + 2y = (-21 + 3y) + 4x Reorder the terms: 14 + 2y = -21 + 4x + 3y Solving 14 + 2y = -21 + 4x + 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. 14 + 2y + -3y = -21 + 4x + 3y + -3y Combine like terms: 2y + -3y = -1y 14 + -1y = -21 + 4x + 3y + -3y Combine like terms: 3y + -3y = 0 14 + -1y = -21 + 4x + 0 14 + -1y = -21 + 4x Add '-14' to each side of the equation. 14 + -14 + -1y = -21 + -14 + 4x Combine like terms: 14 + -14 = 0 0 + -1y = -21 + -14 + 4x -1y = -21 + -14 + 4x Combine like terms: -21 + -14 = -35 -1y = -35 + 4x Divide each side by '-1'. y = 35 + -4x Simplifying y = 35 + -4x
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