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Simplifying 2y + -4 = 3y + -4(2y + -5) Reorder the terms: -4 + 2y = 3y + -4(2y + -5) Reorder the terms: -4 + 2y = 3y + -4(-5 + 2y) -4 + 2y = 3y + (-5 * -4 + 2y * -4) -4 + 2y = 3y + (20 + -8y) Reorder the terms: -4 + 2y = 20 + 3y + -8y Combine like terms: 3y + -8y = -5y -4 + 2y = 20 + -5y Solving -4 + 2y = 20 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -4 + 2y + 5y = 20 + -5y + 5y Combine like terms: 2y + 5y = 7y -4 + 7y = 20 + -5y + 5y Combine like terms: -5y + 5y = 0 -4 + 7y = 20 + 0 -4 + 7y = 20 Add '4' to each side of the equation. -4 + 4 + 7y = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 7y = 20 + 4 7y = 20 + 4 Combine like terms: 20 + 4 = 24 7y = 24 Divide each side by '7'. y = 3.428571429 Simplifying y = 3.428571429
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