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Simplifying 6[4(8 + -4) + -5(9 + 3y)] + -21 = 7[3(7 + 4y) + -4] Combine like terms: 8 + -4 = 4 6[4(4) + -5(9 + 3y)] + -21 = 7[3(7 + 4y) + -4] Multiply 4 * 4 6[16 + -5(9 + 3y)] + -21 = 7[3(7 + 4y) + -4] 6[16 + (9 * -5 + 3y * -5)] + -21 = 7[3(7 + 4y) + -4] 6[16 + (-45 + -15y)] + -21 = 7[3(7 + 4y) + -4] Combine like terms: 16 + -45 = -29 6[-29 + -15y] + -21 = 7[3(7 + 4y) + -4] [-29 * 6 + -15y * 6] + -21 = 7[3(7 + 4y) + -4] [-174 + -90y] + -21 = 7[3(7 + 4y) + -4] Reorder the terms: -174 + -21 + -90y = 7[3(7 + 4y) + -4] Combine like terms: -174 + -21 = -195 -195 + -90y = 7[3(7 + 4y) + -4] -195 + -90y = 7[(7 * 3 + 4y * 3) + -4] -195 + -90y = 7[(21 + 12y) + -4] Reorder the terms: -195 + -90y = 7[21 + -4 + 12y] Combine like terms: 21 + -4 = 17 -195 + -90y = 7[17 + 12y] -195 + -90y = [17 * 7 + 12y * 7] -195 + -90y = [119 + 84y] Solving -195 + -90y = 119 + 84y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-84y' to each side of the equation. -195 + -90y + -84y = 119 + 84y + -84y Combine like terms: -90y + -84y = -174y -195 + -174y = 119 + 84y + -84y Combine like terms: 84y + -84y = 0 -195 + -174y = 119 + 0 -195 + -174y = 119 Add '195' to each side of the equation. -195 + 195 + -174y = 119 + 195 Combine like terms: -195 + 195 = 0 0 + -174y = 119 + 195 -174y = 119 + 195 Combine like terms: 119 + 195 = 314 -174y = 314 Divide each side by '-174'. y = -1.804597701 Simplifying y = -1.804597701
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