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Simplifying 3y + 4 + 4y + 7 = 37 + 9y Reorder the terms: 4 + 7 + 3y + 4y = 37 + 9y Combine like terms: 4 + 7 = 11 11 + 3y + 4y = 37 + 9y Combine like terms: 3y + 4y = 7y 11 + 7y = 37 + 9y Solving 11 + 7y = 37 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 11 + 7y + -9y = 37 + 9y + -9y Combine like terms: 7y + -9y = -2y 11 + -2y = 37 + 9y + -9y Combine like terms: 9y + -9y = 0 11 + -2y = 37 + 0 11 + -2y = 37 Add '-11' to each side of the equation. 11 + -11 + -2y = 37 + -11 Combine like terms: 11 + -11 = 0 0 + -2y = 37 + -11 -2y = 37 + -11 Combine like terms: 37 + -11 = 26 -2y = 26 Divide each side by '-2'. y = -13 Simplifying y = -13
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