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Simplifying 174 = 3(14 + -1y) + 14y 174 = (14 * 3 + -1y * 3) + 14y 174 = (42 + -3y) + 14y Combine like terms: -3y + 14y = 11y 174 = 42 + 11y Solving 174 = 42 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 174 + -11y = 42 + 11y + -11y Combine like terms: 11y + -11y = 0 174 + -11y = 42 + 0 174 + -11y = 42 Add '-174' to each side of the equation. 174 + -174 + -11y = 42 + -174 Combine like terms: 174 + -174 = 0 0 + -11y = 42 + -174 -11y = 42 + -174 Combine like terms: 42 + -174 = -132 -11y = -132 Divide each side by '-11'. y = 12 Simplifying y = 12
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