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Simplifying 2(4y + -5) + -5(2y + 3) = 3 + -3(y + 2) Reorder the terms: 2(-5 + 4y) + -5(2y + 3) = 3 + -3(y + 2) (-5 * 2 + 4y * 2) + -5(2y + 3) = 3 + -3(y + 2) (-10 + 8y) + -5(2y + 3) = 3 + -3(y + 2) Reorder the terms: -10 + 8y + -5(3 + 2y) = 3 + -3(y + 2) -10 + 8y + (3 * -5 + 2y * -5) = 3 + -3(y + 2) -10 + 8y + (-15 + -10y) = 3 + -3(y + 2) Reorder the terms: -10 + -15 + 8y + -10y = 3 + -3(y + 2) Combine like terms: -10 + -15 = -25 -25 + 8y + -10y = 3 + -3(y + 2) Combine like terms: 8y + -10y = -2y -25 + -2y = 3 + -3(y + 2) Reorder the terms: -25 + -2y = 3 + -3(2 + y) -25 + -2y = 3 + (2 * -3 + y * -3) -25 + -2y = 3 + (-6 + -3y) Combine like terms: 3 + -6 = -3 -25 + -2y = -3 + -3y Solving -25 + -2y = -3 + -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. -25 + -2y + 3y = -3 + -3y + 3y Combine like terms: -2y + 3y = 1y -25 + 1y = -3 + -3y + 3y Combine like terms: -3y + 3y = 0 -25 + 1y = -3 + 0 -25 + 1y = -3 Add '25' to each side of the equation. -25 + 25 + 1y = -3 + 25 Combine like terms: -25 + 25 = 0 0 + 1y = -3 + 25 1y = -3 + 25 Combine like terms: -3 + 25 = 22 1y = 22 Divide each side by '1'. y = 22 Simplifying y = 22
| w+13=0 | | 3(c+4)=30 | | (2+3)+9=2+(0+9) | | 2c+2(c+12)=68 | | 9+8x=-x | | 1+6x=-8+5x+7-5 | | 0.17-0.02(x+2)=-0.05(3-x) | | 9x=3y+21 | | 15x+6-6x-3= | | 3(4y-4)+12=6(y-3)-(4y+1) | | 4/7(14x-42)+11=67 | | 96=6x-6(5x+8) | | 3x+2y-2x+5y= | | 68-x+y=180 | | 5(23-3)=15 | | 3x+31=37 | | 9x-4=2(8+4x)+7 | | e^3a=lnx | | 18c-9d-22c+14d= | | f(x+3)=x^2+8x+1 | | 2*sec^2x=8 | | 5p+2=4p-3 | | 2(x-3)=5(x+6) | | y=4x^3-2x^2+7x-5 | | 3n+4=n-7 | | -4(1+8v)=-228 | | 7y-10=25 | | 8x*6=208 | | 1.5(x+6)=-10 | | 4x^2+22x-30=0 | | 6(2s-1)+15=4(s-1)-(2s+3) | | x+(15+x)=121 |