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Simplifying 2(y + 2) = 5y + 34 Reorder the terms: 2(2 + y) = 5y + 34 (2 * 2 + y * 2) = 5y + 34 (4 + 2y) = 5y + 34 Reorder the terms: 4 + 2y = 34 + 5y Solving 4 + 2y = 34 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 4 + 2y + -5y = 34 + 5y + -5y Combine like terms: 2y + -5y = -3y 4 + -3y = 34 + 5y + -5y Combine like terms: 5y + -5y = 0 4 + -3y = 34 + 0 4 + -3y = 34 Add '-4' to each side of the equation. 4 + -4 + -3y = 34 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 34 + -4 -3y = 34 + -4 Combine like terms: 34 + -4 = 30 -3y = 30 Divide each side by '-3'. y = -10 Simplifying y = -10
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