7(y-2)=3y-46

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Solution for 7(y-2)=3y-46 equation:


Simplifying
7(y + -2) = 3y + -46

Reorder the terms:
7(-2 + y) = 3y + -46
(-2 * 7 + y * 7) = 3y + -46
(-14 + 7y) = 3y + -46

Reorder the terms:
-14 + 7y = -46 + 3y

Solving
-14 + 7y = -46 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-14 + 7y + -3y = -46 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-14 + 4y = -46 + 3y + -3y

Combine like terms: 3y + -3y = 0
-14 + 4y = -46 + 0
-14 + 4y = -46

Add '14' to each side of the equation.
-14 + 14 + 4y = -46 + 14

Combine like terms: -14 + 14 = 0
0 + 4y = -46 + 14
4y = -46 + 14

Combine like terms: -46 + 14 = -32
4y = -32

Divide each side by '4'.
y = -8

Simplifying
y = -8

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