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Simplifying 6(y + -3) + 5 = 23 + 2(y + -2) Reorder the terms: 6(-3 + y) + 5 = 23 + 2(y + -2) (-3 * 6 + y * 6) + 5 = 23 + 2(y + -2) (-18 + 6y) + 5 = 23 + 2(y + -2) Reorder the terms: -18 + 5 + 6y = 23 + 2(y + -2) Combine like terms: -18 + 5 = -13 -13 + 6y = 23 + 2(y + -2) Reorder the terms: -13 + 6y = 23 + 2(-2 + y) -13 + 6y = 23 + (-2 * 2 + y * 2) -13 + 6y = 23 + (-4 + 2y) Combine like terms: 23 + -4 = 19 -13 + 6y = 19 + 2y Solving -13 + 6y = 19 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -13 + 6y + -2y = 19 + 2y + -2y Combine like terms: 6y + -2y = 4y -13 + 4y = 19 + 2y + -2y Combine like terms: 2y + -2y = 0 -13 + 4y = 19 + 0 -13 + 4y = 19 Add '13' to each side of the equation. -13 + 13 + 4y = 19 + 13 Combine like terms: -13 + 13 = 0 0 + 4y = 19 + 13 4y = 19 + 13 Combine like terms: 19 + 13 = 32 4y = 32 Divide each side by '4'. y = 8 Simplifying y = 8
| (2y-7)=63 | | 14=5n+12 | | 18y-27=-2y+13 | | 108+2x=180 | | z+6=23 | | (3y+10)=100 | | 3x+x=32 | | 6y-2=22 | | -14+8= | | 2(2+3y)-5y=2 | | 6y+3=2(3x-8) | | 3(5x+2)=46 | | 3z+15=90 | | 3[2(2r+3)-(r+1)-(r+2)]=0 | | 11=3+4x | | 6n-7=35 | | 7(c+7)=5c+59 | | 2.3-4.8w=8.2w+5.6 | | 3w-2=10 | | (2x+1)+(3x-6)=90 | | 3n+7-2=8 | | 8(d+5)=12d-8 | | N+6=14 | | 15n=60 | | 6(d+6)=17d-63 | | -26x-59=135 | | .75*x=18 | | -3(x+3)=2x+3 | | (3x-15)=(2x+7) | | -9-b+8b=23 | | 9(e+3)=11e-13 | | x+3=4x-18 |