3y+2y(y-5)=-(3y-35)-y

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Solution for 3y+2y(y-5)=-(3y-35)-y equation: 


Simplifying
3y + 2y(y + -5) = -1(3y + -35) + -1y

Reorder the terms:
3y + 2y(-5 + y) = -1(3y + -35) + -1y
3y + (-5 * 2y + y * 2y) = -1(3y + -35) + -1y
3y + (-10y + 2y2) = -1(3y + -35) + -1y

Combine like terms: 3y + -10y = -7y
-7y + 2y2 = -1(3y + -35) + -1y

Reorder the terms:
-7y + 2y2 = -1(-35 + 3y) + -1y
-7y + 2y2 = (-35 * -1 + 3y * -1) + -1y
-7y + 2y2 = (35 + -3y) + -1y

Combine like terms: -3y + -1y = -4y
-7y + 2y2 = 35 + -4y

Solving
-7y + 2y2 = 35 + -4y

Solving for variable 'y'.

Reorder the terms:
-35 + -7y + 4y + 2y2 = 35 + -4y + -35 + 4y

Combine like terms: -7y + 4y = -3y
-35 + -3y + 2y2 = 35 + -4y + -35 + 4y

Reorder the terms:
-35 + -3y + 2y2 = 35 + -35 + -4y + 4y

Combine like terms: 35 + -35 = 0
-35 + -3y + 2y2 = 0 + -4y + 4y
-35 + -3y + 2y2 = -4y + 4y

Combine like terms: -4y + 4y = 0
-35 + -3y + 2y2 = 0

Factor a trinomial.
(-7 + -2y)(5 + -1y) = 0


Subproblem 1
Set the factor '(-7 + -2y)' equal to zero and attempt to solve:

Simplifying
-7 + -2y = 0

Solving
-7 + -2y = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2y = 0 + 7
-2y = 0 + 7

Combine like terms: 0 + 7 = 7
-2y = 7

Divide each side by '-2'.
y = -3.5

Simplifying
y = -3.5

Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-3.5, 5}

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