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Simplifying -51 + -1[7 + -8y + -2(6y + -2)] = -2(4y + -7) + -2[2(y + -1) + -4 + 6y] Reorder the terms: -51 + -1[7 + -8y + -2(-2 + 6y)] = -2(4y + -7) + -2[2(y + -1) + -4 + 6y] -51 + -1[7 + -8y + (-2 * -2 + 6y * -2)] = -2(4y + -7) + -2[2(y + -1) + -4 + 6y] -51 + -1[7 + -8y + (4 + -12y)] = -2(4y + -7) + -2[2(y + -1) + -4 + 6y] Reorder the terms: -51 + -1[7 + 4 + -8y + -12y] = -2(4y + -7) + -2[2(y + -1) + -4 + 6y] Combine like terms: 7 + 4 = 11 -51 + -1[11 + -8y + -12y] = -2(4y + -7) + -2[2(y + -1) + -4 + 6y] Combine like terms: -8y + -12y = -20y -51 + -1[11 + -20y] = -2(4y + -7) + -2[2(y + -1) + -4 + 6y] -51 + [11 * -1 + -20y * -1] = -2(4y + -7) + -2[2(y + -1) + -4 + 6y] -51 + [-11 + 20y] = -2(4y + -7) + -2[2(y + -1) + -4 + 6y] Combine like terms: -51 + -11 = -62 -62 + 20y = -2(4y + -7) + -2[2(y + -1) + -4 + 6y] Reorder the terms: -62 + 20y = -2(-7 + 4y) + -2[2(y + -1) + -4 + 6y] -62 + 20y = (-7 * -2 + 4y * -2) + -2[2(y + -1) + -4 + 6y] -62 + 20y = (14 + -8y) + -2[2(y + -1) + -4 + 6y] Reorder the terms: -62 + 20y = 14 + -8y + -2[2(-1 + y) + -4 + 6y] -62 + 20y = 14 + -8y + -2[(-1 * 2 + y * 2) + -4 + 6y] -62 + 20y = 14 + -8y + -2[(-2 + 2y) + -4 + 6y] Reorder the terms: -62 + 20y = 14 + -8y + -2[-2 + -4 + 2y + 6y] Combine like terms: -2 + -4 = -6 -62 + 20y = 14 + -8y + -2[-6 + 2y + 6y] Combine like terms: 2y + 6y = 8y -62 + 20y = 14 + -8y + -2[-6 + 8y] -62 + 20y = 14 + -8y + [-6 * -2 + 8y * -2] -62 + 20y = 14 + -8y + [12 + -16y] Reorder the terms: -62 + 20y = 14 + 12 + -8y + -16y Combine like terms: 14 + 12 = 26 -62 + 20y = 26 + -8y + -16y Combine like terms: -8y + -16y = -24y -62 + 20y = 26 + -24y Solving -62 + 20y = 26 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. -62 + 20y + 24y = 26 + -24y + 24y Combine like terms: 20y + 24y = 44y -62 + 44y = 26 + -24y + 24y Combine like terms: -24y + 24y = 0 -62 + 44y = 26 + 0 -62 + 44y = 26 Add '62' to each side of the equation. -62 + 62 + 44y = 26 + 62 Combine like terms: -62 + 62 = 0 0 + 44y = 26 + 62 44y = 26 + 62 Combine like terms: 26 + 62 = 88 44y = 88 Divide each side by '44'. y = 2 Simplifying y = 2
| 3/2x-x/8=5/4 | | 5y+2=y+10 | | 5x=6+-3x | | 5x=6+-3y | | (2t^2)^-1/3t | | 3n^2=2n+3 | | cos(2x-pi/40=1 | | 0.6x+13.7=x-9.14 | | -0.9x+7.74=-0.7x+4.14 | | 2m^2-4m+9=0 | | (3x^3-5x^2+8)-(8-5x^2+3x^3)= | | 1.8+0.2x=0.6 | | 2z+(z)=5+i | | 600x-0.03=800x+0.05 | | 3.1x-84=1.1x+6 | | 8.2=10x+3.5 | | y-5.5=6 | | 1.9x+7-2.9x=5 | | 5/5÷2/3 | | 3v^2+v-44=0 | | 0.9x+0.7=-1.1 | | M-2+5= | | 2(x-4.1)=4.8 | | 36(t+5)-24(t+10)=t+17 | | 7x+8.48=3x+13 | | 36(t+5)-24(t+10)=t+15 | | 37x=546x+67 | | 2592x-21378=1410x+1080 | | 6.2x+1.39=-27.75 | | 2-2d=3 | | 2592x-22458=1410x+1080 | | 4-2d=3 |