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Simplifying -11(y + 1) + 5(3y + -4) = 3(y + -6) + 9 Reorder the terms: -11(1 + y) + 5(3y + -4) = 3(y + -6) + 9 (1 * -11 + y * -11) + 5(3y + -4) = 3(y + -6) + 9 (-11 + -11y) + 5(3y + -4) = 3(y + -6) + 9 Reorder the terms: -11 + -11y + 5(-4 + 3y) = 3(y + -6) + 9 -11 + -11y + (-4 * 5 + 3y * 5) = 3(y + -6) + 9 -11 + -11y + (-20 + 15y) = 3(y + -6) + 9 Reorder the terms: -11 + -20 + -11y + 15y = 3(y + -6) + 9 Combine like terms: -11 + -20 = -31 -31 + -11y + 15y = 3(y + -6) + 9 Combine like terms: -11y + 15y = 4y -31 + 4y = 3(y + -6) + 9 Reorder the terms: -31 + 4y = 3(-6 + y) + 9 -31 + 4y = (-6 * 3 + y * 3) + 9 -31 + 4y = (-18 + 3y) + 9 Reorder the terms: -31 + 4y = -18 + 9 + 3y Combine like terms: -18 + 9 = -9 -31 + 4y = -9 + 3y Solving -31 + 4y = -9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -31 + 4y + -3y = -9 + 3y + -3y Combine like terms: 4y + -3y = 1y -31 + 1y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 -31 + 1y = -9 + 0 -31 + 1y = -9 Add '31' to each side of the equation. -31 + 31 + 1y = -9 + 31 Combine like terms: -31 + 31 = 0 0 + 1y = -9 + 31 1y = -9 + 31 Combine like terms: -9 + 31 = 22 1y = 22 Divide each side by '1'. y = 22 Simplifying y = 22
| -9+5w=6w | | -4r-6=2r+12 | | 10+7g=6g | | 3.4x=2.6x+7.2 | | 5.5=-4.5 | | 2y+3x=-15 | | h=-4.9x^2+3.5x+10 | | -5r+9=9r-5 | | 7x+6-9x=-10 | | 4y-31=3y+9 | | 4x^4-10x^3-8x=0 | | 1+5x=7x+1 | | C/27=8 | | 6+8x-23+x-32+4x-17=79 | | -5r+9=9r-6 | | 2k-3/-5=3 | | 5-18=z/-5 | | 5y+7+18+H=180 | | 6=d/4 | | 6/(x-2) | | 11w-13w=14 | | 8h+2=24 | | 41=9-2m | | 9-2p=3 | | 154a+3=15 | | -x+4=x+4 | | (2x/5)-(4/7)=50/35 | | d-5=22 | | 6000=-450x+18000 | | 3(3p+6)+2(4p+11)= | | (2x-10)-(4x+8)= | | -9(h-857)=-639 |