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Simplifying (2y) + (2y + -3) + (3y + -7) = 46 Reorder the terms: (2y) + (-3 + 2y) + (3y + -7) = 46 Remove parenthesis around (-3 + 2y) (2y) + -3 + 2y + (3y + -7) = 46 Reorder the terms: (2y) + -3 + 2y + (-7 + 3y) = 46 Remove parenthesis around (-7 + 3y) (2y) + -3 + 2y + -7 + 3y = 46 Reorder the terms: -3 + -7 + (2y) + 2y + 3y = 46 Combine like terms: -3 + -7 = -10 -10 + (2y) + 2y + 3y = 46 Combine like terms: (2y) + 2y = 4y -10 + 4y + 3y = 46 Combine like terms: 4y + 3y = 7y -10 + 7y = 46 Solving -10 + 7y = 46 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7y = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 7y = 46 + 10 7y = 46 + 10 Combine like terms: 46 + 10 = 56 7y = 56 Divide each side by '7'. y = 8 Simplifying y = 8
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