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Simplifying -3(y + -7) + 4(2y + -1) = 0 Reorder the terms: -3(-7 + y) + 4(2y + -1) = 0 (-7 * -3 + y * -3) + 4(2y + -1) = 0 (21 + -3y) + 4(2y + -1) = 0 Reorder the terms: 21 + -3y + 4(-1 + 2y) = 0 21 + -3y + (-1 * 4 + 2y * 4) = 0 21 + -3y + (-4 + 8y) = 0 Reorder the terms: 21 + -4 + -3y + 8y = 0 Combine like terms: 21 + -4 = 17 17 + -3y + 8y = 0 Combine like terms: -3y + 8y = 5y 17 + 5y = 0 Solving 17 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5y = 0 + -17 5y = 0 + -17 Combine like terms: 0 + -17 = -17 5y = -17 Divide each side by '5'. y = -3.4 Simplifying y = -3.4
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