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Simplifying 4(2y + -7) + -3(2y + 4) = 8(5 + -1y) + -5(y + 7) Reorder the terms: 4(-7 + 2y) + -3(2y + 4) = 8(5 + -1y) + -5(y + 7) (-7 * 4 + 2y * 4) + -3(2y + 4) = 8(5 + -1y) + -5(y + 7) (-28 + 8y) + -3(2y + 4) = 8(5 + -1y) + -5(y + 7) Reorder the terms: -28 + 8y + -3(4 + 2y) = 8(5 + -1y) + -5(y + 7) -28 + 8y + (4 * -3 + 2y * -3) = 8(5 + -1y) + -5(y + 7) -28 + 8y + (-12 + -6y) = 8(5 + -1y) + -5(y + 7) Reorder the terms: -28 + -12 + 8y + -6y = 8(5 + -1y) + -5(y + 7) Combine like terms: -28 + -12 = -40 -40 + 8y + -6y = 8(5 + -1y) + -5(y + 7) Combine like terms: 8y + -6y = 2y -40 + 2y = 8(5 + -1y) + -5(y + 7) -40 + 2y = (5 * 8 + -1y * 8) + -5(y + 7) -40 + 2y = (40 + -8y) + -5(y + 7) Reorder the terms: -40 + 2y = 40 + -8y + -5(7 + y) -40 + 2y = 40 + -8y + (7 * -5 + y * -5) -40 + 2y = 40 + -8y + (-35 + -5y) Reorder the terms: -40 + 2y = 40 + -35 + -8y + -5y Combine like terms: 40 + -35 = 5 -40 + 2y = 5 + -8y + -5y Combine like terms: -8y + -5y = -13y -40 + 2y = 5 + -13y Solving -40 + 2y = 5 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. -40 + 2y + 13y = 5 + -13y + 13y Combine like terms: 2y + 13y = 15y -40 + 15y = 5 + -13y + 13y Combine like terms: -13y + 13y = 0 -40 + 15y = 5 + 0 -40 + 15y = 5 Add '40' to each side of the equation. -40 + 40 + 15y = 5 + 40 Combine like terms: -40 + 40 = 0 0 + 15y = 5 + 40 15y = 5 + 40 Combine like terms: 5 + 40 = 45 15y = 45 Divide each side by '15'. y = 3 Simplifying y = 3
| 3x-9=5x-4 | | 48y^3-3y=0 | | x^2+18x-5=0 | | 3x^2+18x-30=0 | | 3x+8-2x=26x | | 18x^2+33-30=0 | | -5y-4y+13y-14+6= | | 16(x+2)-8=16x+25 | | x^2-16+x+10=0 | | 12m-21=35-16 | | 17u-15=60-8u | | 17u-15=60-8v | | 3x-7=-4x+12 | | 5-3x=-16 | | 12(3x+4)-7(2x-6)=2x-30 | | 7x^2+35-42= | | 4(24x+60)=3(60x-84) | | 12(3x+5)-5(2x-7)=6x-45 | | 5(3+4x)-1=114 | | 2x^2+8x=6x+24 | | 3x+9y=7 | | 8x-4(x+4)=4(2x-4)-4(x-5) | | t(x)=12(1.12) | | 7t-17=-12+6t | | 6x-6y=2 | | 3=7h-14+17 | | a^3-a^2-20a=0 | | -8(v+3)+2v+6=6v+7 | | 6p-22=-12+4p | | n^3+8n^2+15n=0 | | 3a+2h+a+3h= | | -7(v+3)+2v+7=7v+9 |