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Simplifying 3(y + 2) = -4(4y + -2) + 5y Reorder the terms: 3(2 + y) = -4(4y + -2) + 5y (2 * 3 + y * 3) = -4(4y + -2) + 5y (6 + 3y) = -4(4y + -2) + 5y Reorder the terms: 6 + 3y = -4(-2 + 4y) + 5y 6 + 3y = (-2 * -4 + 4y * -4) + 5y 6 + 3y = (8 + -16y) + 5y Combine like terms: -16y + 5y = -11y 6 + 3y = 8 + -11y Solving 6 + 3y = 8 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. 6 + 3y + 11y = 8 + -11y + 11y Combine like terms: 3y + 11y = 14y 6 + 14y = 8 + -11y + 11y Combine like terms: -11y + 11y = 0 6 + 14y = 8 + 0 6 + 14y = 8 Add '-6' to each side of the equation. 6 + -6 + 14y = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 14y = 8 + -6 14y = 8 + -6 Combine like terms: 8 + -6 = 2 14y = 2 Divide each side by '14'. y = 0.1428571429 Simplifying y = 0.1428571429
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