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Simplifying -6y + 30 = 2y + -34 Reorder the terms: 30 + -6y = 2y + -34 Reorder the terms: 30 + -6y = -34 + 2y Solving 30 + -6y = -34 + 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. 30 + -6y + -2y = -34 + 2y + -2y Combine like terms: -6y + -2y = -8y 30 + -8y = -34 + 2y + -2y Combine like terms: 2y + -2y = 0 30 + -8y = -34 + 0 30 + -8y = -34 Add '-30' to each side of the equation. 30 + -30 + -8y = -34 + -30 Combine like terms: 30 + -30 = 0 0 + -8y = -34 + -30 -8y = -34 + -30 Combine like terms: -34 + -30 = -64 -8y = -64 Divide each side by '-8'. y = 8 Simplifying y = 8
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