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Simplifying 8(y + 4) = 100 + -4(20 + -1y) Reorder the terms: 8(4 + y) = 100 + -4(20 + -1y) (4 * 8 + y * 8) = 100 + -4(20 + -1y) (32 + 8y) = 100 + -4(20 + -1y) 32 + 8y = 100 + (20 * -4 + -1y * -4) 32 + 8y = 100 + (-80 + 4y) Combine like terms: 100 + -80 = 20 32 + 8y = 20 + 4y Solving 32 + 8y = 20 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 32 + 8y + -4y = 20 + 4y + -4y Combine like terms: 8y + -4y = 4y 32 + 4y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 32 + 4y = 20 + 0 32 + 4y = 20 Add '-32' to each side of the equation. 32 + -32 + 4y = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 4y = 20 + -32 4y = 20 + -32 Combine like terms: 20 + -32 = -12 4y = -12 Divide each side by '4'. y = -3 Simplifying y = -3
| 2m=4m+4 | | 6x+4=z-2 | | 4x-5=5x-2 | | 16=5x-8 | | 4x-19=2x-5 | | 14-2x(-1)=10 | | 3x+3=2-3x | | 7x+1=4-x | | 0=20x+20 | | 14-2(1)=10 | | 3u+3=21 | | 14-2(0)=10 | | 5c+7=5 | | 14-2(-1)=10 | | -w+1=0 | | 14-2(-2)=10 | | 5(4z-1)-2(z+6)=5(z+1) | | 9p+6=1 | | -w+2=1 | | -7(t-2)-(t+4)=10 | | 5h+1=16 | | 0=12x+12 | | 0=16x+8 | | 16k-3=64 | | 7s+2=9 | | -u+7=-1 | | 1+6(x-5)=5-4(x-7) | | 15x^2-80x+99=0 | | (5x+1)2=0 | | -a-4-10a+5=100 | | -s+4=3 | | 14y-6=24-y |