y*y+9y-10=y*y+4y+3

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Solution for y*y+9y-10=y*y+4y+3 equation:


Simplifying
y * y + 9y + -10 = y * y + 4y + 3

Multiply y * y
y2 + 9y + -10 = y * y + 4y + 3

Reorder the terms:
-10 + 9y + y2 = y * y + 4y + 3

Multiply y * y
-10 + 9y + y2 = y2 + 4y + 3

Reorder the terms:
-10 + 9y + y2 = 3 + 4y + y2

Add '-1y2' to each side of the equation.
-10 + 9y + y2 + -1y2 = 3 + 4y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-10 + 9y + 0 = 3 + 4y + y2 + -1y2
-10 + 9y = 3 + 4y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-10 + 9y = 3 + 4y + 0
-10 + 9y = 3 + 4y

Solving
-10 + 9y = 3 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-10 + 9y + -4y = 3 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-10 + 5y = 3 + 4y + -4y

Combine like terms: 4y + -4y = 0
-10 + 5y = 3 + 0
-10 + 5y = 3

Add '10' to each side of the equation.
-10 + 10 + 5y = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 5y = 3 + 10
5y = 3 + 10

Combine like terms: 3 + 10 = 13
5y = 13

Divide each side by '5'.
y = 2.6

Simplifying
y = 2.6

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