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Simplifying
y2 + 4y + -10 = 4y + -6
Reorder the terms:
-10 + 4y + y2 = 4y + -6
Reorder the terms:
-10 + 4y + y2 = -6 + 4y
Add '-4y' to each side of the equation.
-10 + 4y + -4y + y2 = -6 + 4y + -4y
Combine like terms: 4y + -4y = 0
-10 + 0 + y2 = -6 + 4y + -4y
-10 + y2 = -6 + 4y + -4y
Combine like terms: 4y + -4y = 0
-10 + y2 = -6 + 0
-10 + y2 = -6
Solving
-10 + y2 = -6
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + y2 = -6 + 10
Combine like terms: -10 + 10 = 0
0 + y2 = -6 + 10
y2 = -6 + 10
Combine like terms: -6 + 10 = 4
y2 = 4
Simplifying
y2 = 4
Take the square root of each side:
y = {-2, 2}
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