y+4(y-3)=-22

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Solution for y+4(y-3)=-22 equation: 


Simplifying
y + 4(y + -3) = -22

Reorder the terms:
y + 4(-3 + y) = -22
y + (-3 * 4 + y * 4) = -22
y + (-12 + 4y) = -22

Reorder the terms:
-12 + y + 4y = -22

Combine like terms: y + 4y = 5y
-12 + 5y = -22

Solving
-12 + 5y = -22

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 5y = -22 + 12

Combine like terms: -12 + 12 = 0
0 + 5y = -22 + 12
5y = -22 + 12

Combine like terms: -22 + 12 = -10
5y = -10

Divide each side by '5'.
y = -2

Simplifying
y = -2

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