2y-7=19y+78

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Solution for 2y-7=19y+78 equation:


Simplifying
2y + -7 = 19y + 78

Reorder the terms:
-7 + 2y = 19y + 78

Reorder the terms:
-7 + 2y = 78 + 19y

Solving
-7 + 2y = 78 + 19y

Solving for variable 'y'.

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

Add '-19y' to each side of the equation.
-7 + 2y + -19y = 78 + 19y + -19y

Combine like terms: 2y + -19y = -17y
-7 + -17y = 78 + 19y + -19y

Combine like terms: 19y + -19y = 0
-7 + -17y = 78 + 0
-7 + -17y = 78

Add '7' to each side of the equation.
-7 + 7 + -17y = 78 + 7

Combine like terms: -7 + 7 = 0
0 + -17y = 78 + 7
-17y = 78 + 7

Combine like terms: 78 + 7 = 85
-17y = 85

Divide each side by '-17'.
y = -5

Simplifying
y = -5

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