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Simplifying 84(6y + 3) = 151 + -2y Reorder the terms: 84(3 + 6y) = 151 + -2y (3 * 84 + 6y * 84) = 151 + -2y (252 + 504y) = 151 + -2y Solving 252 + 504y = 151 + -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. 252 + 504y + 2y = 151 + -2y + 2y Combine like terms: 504y + 2y = 506y 252 + 506y = 151 + -2y + 2y Combine like terms: -2y + 2y = 0 252 + 506y = 151 + 0 252 + 506y = 151 Add '-252' to each side of the equation. 252 + -252 + 506y = 151 + -252 Combine like terms: 252 + -252 = 0 0 + 506y = 151 + -252 506y = 151 + -252 Combine like terms: 151 + -252 = -101 506y = -101 Divide each side by '506'. y = -0.1996047431 Simplifying y = -0.1996047431
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