45-(4-2y-4(y+7))=-4(1+3y)-(4-3(y+2)-2(2y-5))

Simple and best practice solution for 45-(4-2y-4(y+7))=-4(1+3y)-(4-3(y+2)-2(2y-5)) 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 45-(4-2y-4(y+7))=-4(1+3y)-(4-3(y+2)-2(2y-5)) equation: 


Simplifying
45 + -1(4 + -2y + -4(y + 7)) = -4(1 + 3y) + -1(4 + -3(y + 2) + -2(2y + -5))

Reorder the terms:
45 + -1(4 + -2y + -4(7 + y)) = -4(1 + 3y) + -1(4 + -3(y + 2) + -2(2y + -5))
45 + -1(4 + -2y + (7 * -4 + y * -4)) = -4(1 + 3y) + -1(4 + -3(y + 2) + -2(2y + -5))
45 + -1(4 + -2y + (-28 + -4y)) = -4(1 + 3y) + -1(4 + -3(y + 2) + -2(2y + -5))

Reorder the terms:
45 + -1(4 + -28 + -2y + -4y) = -4(1 + 3y) + -1(4 + -3(y + 2) + -2(2y + -5))

Combine like terms: 4 + -28 = -24
45 + -1(-24 + -2y + -4y) = -4(1 + 3y) + -1(4 + -3(y + 2) + -2(2y + -5))

Combine like terms: -2y + -4y = -6y
45 + -1(-24 + -6y) = -4(1 + 3y) + -1(4 + -3(y + 2) + -2(2y + -5))
45 + (-24 * -1 + -6y * -1) = -4(1 + 3y) + -1(4 + -3(y + 2) + -2(2y + -5))
45 + (24 + 6y) = -4(1 + 3y) + -1(4 + -3(y + 2) + -2(2y + -5))

Combine like terms: 45 + 24 = 69
69 + 6y = -4(1 + 3y) + -1(4 + -3(y + 2) + -2(2y + -5))
69 + 6y = (1 * -4 + 3y * -4) + -1(4 + -3(y + 2) + -2(2y + -5))
69 + 6y = (-4 + -12y) + -1(4 + -3(y + 2) + -2(2y + -5))

Reorder the terms:
69 + 6y = -4 + -12y + -1(4 + -3(2 + y) + -2(2y + -5))
69 + 6y = -4 + -12y + -1(4 + (2 * -3 + y * -3) + -2(2y + -5))
69 + 6y = -4 + -12y + -1(4 + (-6 + -3y) + -2(2y + -5))

Reorder the terms:
69 + 6y = -4 + -12y + -1(4 + -6 + -3y + -2(-5 + 2y))
69 + 6y = -4 + -12y + -1(4 + -6 + -3y + (-5 * -2 + 2y * -2))
69 + 6y = -4 + -12y + -1(4 + -6 + -3y + (10 + -4y))

Reorder the terms:
69 + 6y = -4 + -12y + -1(4 + -6 + 10 + -3y + -4y)

Combine like terms: 4 + -6 = -2
69 + 6y = -4 + -12y + -1(-2 + 10 + -3y + -4y)

Combine like terms: -2 + 10 = 8
69 + 6y = -4 + -12y + -1(8 + -3y + -4y)

Combine like terms: -3y + -4y = -7y
69 + 6y = -4 + -12y + -1(8 + -7y)
69 + 6y = -4 + -12y + (8 * -1 + -7y * -1)
69 + 6y = -4 + -12y + (-8 + 7y)

Reorder the terms:
69 + 6y = -4 + -8 + -12y + 7y

Combine like terms: -4 + -8 = -12
69 + 6y = -12 + -12y + 7y

Combine like terms: -12y + 7y = -5y
69 + 6y = -12 + -5y

Solving
69 + 6y = -12 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
69 + 6y + 5y = -12 + -5y + 5y

Combine like terms: 6y + 5y = 11y
69 + 11y = -12 + -5y + 5y

Combine like terms: -5y + 5y = 0
69 + 11y = -12 + 0
69 + 11y = -12

Add '-69' to each side of the equation.
69 + -69 + 11y = -12 + -69

Combine like terms: 69 + -69 = 0
0 + 11y = -12 + -69
11y = -12 + -69

Combine like terms: -12 + -69 = -81
11y = -81

Divide each side by '11'.
y = -7.363636364

Simplifying
y = -7.363636364

See similar equations:

| -11+x=-7x-8(x+1) | | -37+7=-9y+49 | | -37+7=-97+49 | | 10x-30+7x=13x | | 13-3v=8v+2 | | -5v+8(v+3)=39 | | 7x^2+16x=192 | | 3(w-8)+3w=-18 | | 18n-24t= | | 7=3y+y-8 | | 6(y+3)+2y=-38 | | X-2+x-3=123 | | 6x-9x+9=x-7+16 | | (2-z)(2z+5)=0 | | (t+33)+(t+11)=4t-9 | | 12-4y=6 | | s-4t=29 | | 4(6+2x)=2(x-3) | | 5(4-y)=20 | | 17-3x=2+3x | | 60-4t= | | y=-x^2-6x+4 | | s-4t= | | 1-2x=1-3y | | 3*0-4*y=6 | | 0.63+0.24t=2.68t-1.20 | | 33u-50+u+29=29u | | -8w^2+18w-9=0 | | 6(y-1)-4=-4(-6y+3)-4y | | 2y+2(y-8)=6y-4(y-10) | | 8x^2+16x=192 | | 39q+19+30=44q+45 |

Equations solver categories