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Simplifying 34 = 2(y + -7) + 4y Reorder the terms: 34 = 2(-7 + y) + 4y 34 = (-7 * 2 + y * 2) + 4y 34 = (-14 + 2y) + 4y Combine like terms: 2y + 4y = 6y 34 = -14 + 6y Solving 34 = -14 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 34 + -6y = -14 + 6y + -6y Combine like terms: 6y + -6y = 0 34 + -6y = -14 + 0 34 + -6y = -14 Add '-34' to each side of the equation. 34 + -34 + -6y = -14 + -34 Combine like terms: 34 + -34 = 0 0 + -6y = -14 + -34 -6y = -14 + -34 Combine like terms: -14 + -34 = -48 -6y = -48 Divide each side by '-6'. y = 8 Simplifying y = 8
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