2(y-23)+3(y-4)=22

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Solution for 2(y-23)+3(y-4)=22 equation: 


Simplifying
2(y + -23) + 3(y + -4) = 22

Reorder the terms:
2(-23 + y) + 3(y + -4) = 22
(-23 * 2 + y * 2) + 3(y + -4) = 22
(-46 + 2y) + 3(y + -4) = 22

Reorder the terms:
-46 + 2y + 3(-4 + y) = 22
-46 + 2y + (-4 * 3 + y * 3) = 22
-46 + 2y + (-12 + 3y) = 22

Reorder the terms:
-46 + -12 + 2y + 3y = 22

Combine like terms: -46 + -12 = -58
-58 + 2y + 3y = 22

Combine like terms: 2y + 3y = 5y
-58 + 5y = 22

Solving
-58 + 5y = 22

Solving for variable 'y'.

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

Add '58' to each side of the equation.
-58 + 58 + 5y = 22 + 58

Combine like terms: -58 + 58 = 0
0 + 5y = 22 + 58
5y = 22 + 58

Combine like terms: 22 + 58 = 80
5y = 80

Divide each side by '5'.
y = 16

Simplifying
y = 16

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