7-3(y-2)=5(y-2)-4y

Simple and best practice solution for 7-3(y-2)=5(y-2)-4y equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 7-3(y-2)=5(y-2)-4y equation: 


Simplifying
7 + -3(y + -2) = 5(y + -2) + -4y

Reorder the terms:
7 + -3(-2 + y) = 5(y + -2) + -4y
7 + (-2 * -3 + y * -3) = 5(y + -2) + -4y
7 + (6 + -3y) = 5(y + -2) + -4y

Combine like terms: 7 + 6 = 13
13 + -3y = 5(y + -2) + -4y

Reorder the terms:
13 + -3y = 5(-2 + y) + -4y
13 + -3y = (-2 * 5 + y * 5) + -4y
13 + -3y = (-10 + 5y) + -4y

Combine like terms: 5y + -4y = 1y
13 + -3y = -10 + 1y

Solving
13 + -3y = -10 + 1y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1y' to each side of the equation.
13 + -3y + -1y = -10 + 1y + -1y

Combine like terms: -3y + -1y = -4y
13 + -4y = -10 + 1y + -1y

Combine like terms: 1y + -1y = 0
13 + -4y = -10 + 0
13 + -4y = -10

Add '-13' to each side of the equation.
13 + -13 + -4y = -10 + -13

Combine like terms: 13 + -13 = 0
0 + -4y = -10 + -13
-4y = -10 + -13

Combine like terms: -10 + -13 = -23
-4y = -23

Divide each side by '-4'.
y = 5.75

Simplifying
y = 5.75

See similar equations:

| 2n+1=4n-1 | | 0.2x+0.8=0.7x-1.7 | | 9=3(z+1) | | 3(1+11x)=0 | | -37=-3x | | 8k-7k=17 | | 27x^2-66x+24=0 | | 3x-x+7=15 | | y^2=14-5x | | (5+2)+n=7+N | | 10x-12x=16 | | 8x+5=10x+13 | | -2(n-5)-(3n-1)=-5+(2n-1) | | 13u-18u+u+-8=16 | | -7(6x-6)=295 | | 0.7(9x+7)=2.0-(x-3) | | 5+4-7=4x-2-x | | p-70=54 | | 17-2x(5-2)=13 | | 2(6)+7= | | 5y-4+5=180 | | 2(x-3)=.50(4x-12) | | 5y=179 | | 13-t+20-t=17 | | 3x-(x+31)+(1x)=-63 | | x-(-9x)=x+7 | | 2(X-8)-5(X+4)=-2(X+18) | | 4h=7+5h | | x-14(2x+5)=0 | | 5-(3+3x)-2(4-2x)=10-9(3x+2) | | x+2x+x+25=180 | | -3(-14)-8= |

Equations solver categories