6(y-7)=25y-4

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Solution for 6(y-7)=25y-4 equation:


Simplifying
6(y + -7) = 25y + -4

Reorder the terms:
6(-7 + y) = 25y + -4
(-7 * 6 + y * 6) = 25y + -4
(-42 + 6y) = 25y + -4

Reorder the terms:
-42 + 6y = -4 + 25y

Solving
-42 + 6y = -4 + 25y

Solving for variable 'y'.

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

Add '-25y' to each side of the equation.
-42 + 6y + -25y = -4 + 25y + -25y

Combine like terms: 6y + -25y = -19y
-42 + -19y = -4 + 25y + -25y

Combine like terms: 25y + -25y = 0
-42 + -19y = -4 + 0
-42 + -19y = -4

Add '42' to each side of the equation.
-42 + 42 + -19y = -4 + 42

Combine like terms: -42 + 42 = 0
0 + -19y = -4 + 42
-19y = -4 + 42

Combine like terms: -4 + 42 = 38
-19y = 38

Divide each side by '-19'.
y = -2

Simplifying
y = -2

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