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

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


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

Reorder the terms:
7y + -1(3 + 2y)(2y + -3) = 5y + -3(y + -1)

Reorder the terms:
7y + -1(3 + 2y)(-3 + 2y) = 5y + -3(y + -1)

Multiply (3 + 2y) * (-3 + 2y)
7y + -1(3(-3 + 2y) + 2y * (-3 + 2y)) = 5y + -3(y + -1)
7y + -1((-3 * 3 + 2y * 3) + 2y * (-3 + 2y)) = 5y + -3(y + -1)
7y + -1((-9 + 6y) + 2y * (-3 + 2y)) = 5y + -3(y + -1)
7y + -1(-9 + 6y + (-3 * 2y + 2y * 2y)) = 5y + -3(y + -1)
7y + -1(-9 + 6y + (-6y + 4y2)) = 5y + -3(y + -1)

Combine like terms: 6y + -6y = 0
7y + -1(-9 + 0 + 4y2) = 5y + -3(y + -1)
7y + -1(-9 + 4y2) = 5y + -3(y + -1)
7y + (-9 * -1 + 4y2 * -1) = 5y + -3(y + -1)
7y + (9 + -4y2) = 5y + -3(y + -1)

Reorder the terms:
9 + 7y + -4y2 = 5y + -3(y + -1)

Reorder the terms:
9 + 7y + -4y2 = 5y + -3(-1 + y)
9 + 7y + -4y2 = 5y + (-1 * -3 + y * -3)
9 + 7y + -4y2 = 5y + (3 + -3y)

Reorder the terms:
9 + 7y + -4y2 = 3 + 5y + -3y

Combine like terms: 5y + -3y = 2y
9 + 7y + -4y2 = 3 + 2y

Solving
9 + 7y + -4y2 = 3 + 2y

Solving for variable 'y'.

Reorder the terms:
9 + -3 + 7y + -2y + -4y2 = 3 + 2y + -3 + -2y

Combine like terms: 9 + -3 = 6
6 + 7y + -2y + -4y2 = 3 + 2y + -3 + -2y

Combine like terms: 7y + -2y = 5y
6 + 5y + -4y2 = 3 + 2y + -3 + -2y

Reorder the terms:
6 + 5y + -4y2 = 3 + -3 + 2y + -2y

Combine like terms: 3 + -3 = 0
6 + 5y + -4y2 = 0 + 2y + -2y
6 + 5y + -4y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
6 + 5y + -4y2 = 0

Factor a trinomial.
(2 + -1y)(3 + 4y) = 0


Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

Subproblem 2
Set the factor '(3 + 4y)' equal to zero and attempt to solve:

Simplifying
3 + 4y = 0

Solving
3 + 4y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4y = 0 + -3
4y = 0 + -3

Combine like terms: 0 + -3 = -3
4y = -3

Divide each side by '4'.
y = -0.75

Simplifying
y = -0.75
Solution
y = {2, -0.75}

See similar equations:

| (3r-1)(4r-3)= | | 3=v-4 | | -5(t-9)-(t+5)=1 | | 6x^2+39x-21=0 | | 6x=72-2x | | 3x^2+2x-10=2x^2+x+10 | | 4.6x+93=7.1x+13 | | (3c+6)(3c-6)= | | 10x=35+3x | | -8r-8+r+2= | | 7y-5=12+11y | | 5x=x+68 | | 6x+14=11x-12 | | 2(3z+4)+5=20 | | 6t^3-6t^2-6t=0 | | -8(-9-7x)= | | 6(x+2)=3x+33 | | 3x+4=.5(x+8+5x) | | 7x=4x+21 | | 4(z+2)+2z=24 | | 6x-49=4x-13 | | (t+2)(t+2)-12(t+2)+35=0 | | 16x-12x+x=79+11 | | b-139=a+41 | | 8(1+5a)-2a= | | 2x+2=3+3x | | .25y+1=2+.2y | | 3+x-4x+9= | | a+41=b-139 | | 2(x+4)=10x-4 | | y+41=x-139 | | 8+2x+4=115-31 |

Equations solver categories