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Simplifying 2(3y + -7) + -4(y + -7) = 0 Reorder the terms: 2(-7 + 3y) + -4(y + -7) = 0 (-7 * 2 + 3y * 2) + -4(y + -7) = 0 (-14 + 6y) + -4(y + -7) = 0 Reorder the terms: -14 + 6y + -4(-7 + y) = 0 -14 + 6y + (-7 * -4 + y * -4) = 0 -14 + 6y + (28 + -4y) = 0 Reorder the terms: -14 + 28 + 6y + -4y = 0 Combine like terms: -14 + 28 = 14 14 + 6y + -4y = 0 Combine like terms: 6y + -4y = 2y 14 + 2y = 0 Solving 14 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2y = 0 + -14 2y = 0 + -14 Combine like terms: 0 + -14 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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