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Simplifying 15y + 14 = 29(5y + 6) Reorder the terms: 14 + 15y = 29(5y + 6) Reorder the terms: 14 + 15y = 29(6 + 5y) 14 + 15y = (6 * 29 + 5y * 29) 14 + 15y = (174 + 145y) Solving 14 + 15y = 174 + 145y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-145y' to each side of the equation. 14 + 15y + -145y = 174 + 145y + -145y Combine like terms: 15y + -145y = -130y 14 + -130y = 174 + 145y + -145y Combine like terms: 145y + -145y = 0 14 + -130y = 174 + 0 14 + -130y = 174 Add '-14' to each side of the equation. 14 + -14 + -130y = 174 + -14 Combine like terms: 14 + -14 = 0 0 + -130y = 174 + -14 -130y = 174 + -14 Combine like terms: 174 + -14 = 160 -130y = 160 Divide each side by '-130'. y = -1.230769231 Simplifying y = -1.230769231
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