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Simplifying 3[y + -5(2y + -3)] + -8 = 15 Reorder the terms: 3[y + -5(-3 + 2y)] + -8 = 15 3[y + (-3 * -5 + 2y * -5)] + -8 = 15 3[y + (15 + -10y)] + -8 = 15 Reorder the terms: 3[15 + y + -10y] + -8 = 15 Combine like terms: y + -10y = -9y 3[15 + -9y] + -8 = 15 [15 * 3 + -9y * 3] + -8 = 15 [45 + -27y] + -8 = 15 Reorder the terms: 45 + -8 + -27y = 15 Combine like terms: 45 + -8 = 37 37 + -27y = 15 Solving 37 + -27y = 15 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -27y = 15 + -37 Combine like terms: 37 + -37 = 0 0 + -27y = 15 + -37 -27y = 15 + -37 Combine like terms: 15 + -37 = -22 -27y = -22 Divide each side by '-27'. y = 0.8148148148 Simplifying y = 0.8148148148
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