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Simplifying -5y + 34 = 6(y + 2) Reorder the terms: 34 + -5y = 6(y + 2) Reorder the terms: 34 + -5y = 6(2 + y) 34 + -5y = (2 * 6 + y * 6) 34 + -5y = (12 + 6y) Solving 34 + -5y = 12 + 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 + -5y + -6y = 12 + 6y + -6y Combine like terms: -5y + -6y = -11y 34 + -11y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 34 + -11y = 12 + 0 34 + -11y = 12 Add '-34' to each side of the equation. 34 + -34 + -11y = 12 + -34 Combine like terms: 34 + -34 = 0 0 + -11y = 12 + -34 -11y = 12 + -34 Combine like terms: 12 + -34 = -22 -11y = -22 Divide each side by '-11'. y = 2 Simplifying y = 2
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