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Simplifying 3y + 4y + -7 = 38 + -2y Reorder the terms: -7 + 3y + 4y = 38 + -2y Combine like terms: 3y + 4y = 7y -7 + 7y = 38 + -2y Solving -7 + 7y = 38 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -7 + 7y + 2y = 38 + -2y + 2y Combine like terms: 7y + 2y = 9y -7 + 9y = 38 + -2y + 2y Combine like terms: -2y + 2y = 0 -7 + 9y = 38 + 0 -7 + 9y = 38 Add '7' to each side of the equation. -7 + 7 + 9y = 38 + 7 Combine like terms: -7 + 7 = 0 0 + 9y = 38 + 7 9y = 38 + 7 Combine like terms: 38 + 7 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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