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Simplifying 5y + 7 + -2y = 7 + -3(y + -9) Reorder the terms: 7 + 5y + -2y = 7 + -3(y + -9) Combine like terms: 5y + -2y = 3y 7 + 3y = 7 + -3(y + -9) Reorder the terms: 7 + 3y = 7 + -3(-9 + y) 7 + 3y = 7 + (-9 * -3 + y * -3) 7 + 3y = 7 + (27 + -3y) Combine like terms: 7 + 27 = 34 7 + 3y = 34 + -3y Solving 7 + 3y = 34 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 7 + 3y + 3y = 34 + -3y + 3y Combine like terms: 3y + 3y = 6y 7 + 6y = 34 + -3y + 3y Combine like terms: -3y + 3y = 0 7 + 6y = 34 + 0 7 + 6y = 34 Add '-7' to each side of the equation. 7 + -7 + 6y = 34 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 34 + -7 6y = 34 + -7 Combine like terms: 34 + -7 = 27 6y = 27 Divide each side by '6'. y = 4.5 Simplifying y = 4.5
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