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Simplifying 3(y + 2) = -4(y + -5) Reorder the terms: 3(2 + y) = -4(y + -5) (2 * 3 + y * 3) = -4(y + -5) (6 + 3y) = -4(y + -5) Reorder the terms: 6 + 3y = -4(-5 + y) 6 + 3y = (-5 * -4 + y * -4) 6 + 3y = (20 + -4y) Solving 6 + 3y = 20 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 6 + 3y + 4y = 20 + -4y + 4y Combine like terms: 3y + 4y = 7y 6 + 7y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + 7y = 20 + 0 6 + 7y = 20 Add '-6' to each side of the equation. 6 + -6 + 7y = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 7y = 20 + -6 7y = 20 + -6 Combine like terms: 20 + -6 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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