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Simplifying -65 + 21y + 8 = 6(4y + -5) + -6 Reorder the terms: -65 + 8 + 21y = 6(4y + -5) + -6 Combine like terms: -65 + 8 = -57 -57 + 21y = 6(4y + -5) + -6 Reorder the terms: -57 + 21y = 6(-5 + 4y) + -6 -57 + 21y = (-5 * 6 + 4y * 6) + -6 -57 + 21y = (-30 + 24y) + -6 Reorder the terms: -57 + 21y = -30 + -6 + 24y Combine like terms: -30 + -6 = -36 -57 + 21y = -36 + 24y Solving -57 + 21y = -36 + 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. -57 + 21y + -24y = -36 + 24y + -24y Combine like terms: 21y + -24y = -3y -57 + -3y = -36 + 24y + -24y Combine like terms: 24y + -24y = 0 -57 + -3y = -36 + 0 -57 + -3y = -36 Add '57' to each side of the equation. -57 + 57 + -3y = -36 + 57 Combine like terms: -57 + 57 = 0 0 + -3y = -36 + 57 -3y = -36 + 57 Combine like terms: -36 + 57 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
| 10g+z=72 | | -9=3(m+3) | | 4m+2m=72 | | -3x+22=67 | | 8x=-152 | | .5(5-2x)=-x+1 | | 4n+15=2n+15 | | -269=-20x | | 27u^3+8v^3=0 | | -14=-n+8n | | .16+17(.02x+1)=23 | | -2x+4+9x+25=50 | | 3c+4d-c+2= | | -4r=-5r+5 | | 800(400+x)=72 | | 4.3t-2.1t-2.3=76 | | 3(3x-1)=16(x+2) | | sx+8=1000 | | -11=8r+3r | | 5-10y=-80 | | 10(1-x)=-6(-x+1) | | 32=-4x-(16) | | (3x^2)-20x+100=0 | | 8+3x=-2x+58 | | 0.8(5x+15)=2.3-(x+3) | | m+0=7 | | 2x^3-7x^2+17x-7=0 | | 7m+4m=-22 | | 12(2-x)=12 | | 3t-7=4(t-5) | | x^3-11x^2+55x-125=0 | | .16+17(0.02+1)=23 |