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Simplifying (3y + -2) = (40 + -4y) Reorder the terms: (-2 + 3y) = (40 + -4y) Remove parenthesis around (-2 + 3y) -2 + 3y = (40 + -4y) Remove parenthesis around (40 + -4y) -2 + 3y = 40 + -4y Solving -2 + 3y = 40 + -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. -2 + 3y + 4y = 40 + -4y + 4y Combine like terms: 3y + 4y = 7y -2 + 7y = 40 + -4y + 4y Combine like terms: -4y + 4y = 0 -2 + 7y = 40 + 0 -2 + 7y = 40 Add '2' to each side of the equation. -2 + 2 + 7y = 40 + 2 Combine like terms: -2 + 2 = 0 0 + 7y = 40 + 2 7y = 40 + 2 Combine like terms: 40 + 2 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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