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Simplifying 7y + -34 = 2(y + 8) Reorder the terms: -34 + 7y = 2(y + 8) Reorder the terms: -34 + 7y = 2(8 + y) -34 + 7y = (8 * 2 + y * 2) -34 + 7y = (16 + 2y) Solving -34 + 7y = 16 + 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. -34 + 7y + -2y = 16 + 2y + -2y Combine like terms: 7y + -2y = 5y -34 + 5y = 16 + 2y + -2y Combine like terms: 2y + -2y = 0 -34 + 5y = 16 + 0 -34 + 5y = 16 Add '34' to each side of the equation. -34 + 34 + 5y = 16 + 34 Combine like terms: -34 + 34 = 0 0 + 5y = 16 + 34 5y = 16 + 34 Combine like terms: 16 + 34 = 50 5y = 50 Divide each side by '5'. y = 10 Simplifying y = 10
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