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Simplifying 3y + 6 = 7y + -34 Reorder the terms: 6 + 3y = 7y + -34 Reorder the terms: 6 + 3y = -34 + 7y Solving 6 + 3y = -34 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 6 + 3y + -7y = -34 + 7y + -7y Combine like terms: 3y + -7y = -4y 6 + -4y = -34 + 7y + -7y Combine like terms: 7y + -7y = 0 6 + -4y = -34 + 0 6 + -4y = -34 Add '-6' to each side of the equation. 6 + -6 + -4y = -34 + -6 Combine like terms: 6 + -6 = 0 0 + -4y = -34 + -6 -4y = -34 + -6 Combine like terms: -34 + -6 = -40 -4y = -40 Divide each side by '-4'. y = 10 Simplifying y = 10
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