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Simplifying 4(y + -3) + -6(y + 1) = 4(3y + 4) + -2(8 + 6y) Reorder the terms: 4(-3 + y) + -6(y + 1) = 4(3y + 4) + -2(8 + 6y) (-3 * 4 + y * 4) + -6(y + 1) = 4(3y + 4) + -2(8 + 6y) (-12 + 4y) + -6(y + 1) = 4(3y + 4) + -2(8 + 6y) Reorder the terms: -12 + 4y + -6(1 + y) = 4(3y + 4) + -2(8 + 6y) -12 + 4y + (1 * -6 + y * -6) = 4(3y + 4) + -2(8 + 6y) -12 + 4y + (-6 + -6y) = 4(3y + 4) + -2(8 + 6y) Reorder the terms: -12 + -6 + 4y + -6y = 4(3y + 4) + -2(8 + 6y) Combine like terms: -12 + -6 = -18 -18 + 4y + -6y = 4(3y + 4) + -2(8 + 6y) Combine like terms: 4y + -6y = -2y -18 + -2y = 4(3y + 4) + -2(8 + 6y) Reorder the terms: -18 + -2y = 4(4 + 3y) + -2(8 + 6y) -18 + -2y = (4 * 4 + 3y * 4) + -2(8 + 6y) -18 + -2y = (16 + 12y) + -2(8 + 6y) -18 + -2y = 16 + 12y + (8 * -2 + 6y * -2) -18 + -2y = 16 + 12y + (-16 + -12y) Reorder the terms: -18 + -2y = 16 + -16 + 12y + -12y Combine like terms: 16 + -16 = 0 -18 + -2y = 0 + 12y + -12y -18 + -2y = 12y + -12y Combine like terms: 12y + -12y = 0 -18 + -2y = 0 Solving -18 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -2y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -2y = 0 + 18 -2y = 0 + 18 Combine like terms: 0 + 18 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
| 0=-8(y+6) | | 0.7-0.9x-6=4 | | 6x+8-35=0 | | 6(x+1)=4(x-1) | | 303-113= | | 6y-18=9 | | 6n-6=4.4n-2 | | y^2+2y-15=0 | | 6(c-2)=7(c-6) | | 20-n=-10 | | -2d+18-4d=5*12 | | 3p=5(3p+7) | | 50-2x=9x+17 | | 6q+1=4 | | S+67=101 | | 3x+12=68-4x | | 2n+8+4n=80 | | 11=3x-10 | | x^2+8x+8=2 | | 8x-5=38 | | 3a+4a=1 | | 9x-13=6x+5 | | 9p+q+11p+4q= | | 3y^2+y-2=0 | | (x+y)-1(7x-2y)= | | 6y-4=38 | | 4+5x=29 | | 3a+4a=0 | | -1=v+9 | | -17=17(h-5) | | x(4x+24)=72 | | x=v+9 |