7y-2=10y+1

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Solution for 7y-2=10y+1 equation:


Simplifying
7y + -2 = 10y + 1

Reorder the terms:
-2 + 7y = 10y + 1

Reorder the terms:
-2 + 7y = 1 + 10y

Solving
-2 + 7y = 1 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-2 + 7y + -10y = 1 + 10y + -10y

Combine like terms: 7y + -10y = -3y
-2 + -3y = 1 + 10y + -10y

Combine like terms: 10y + -10y = 0
-2 + -3y = 1 + 0
-2 + -3y = 1

Add '2' to each side of the equation.
-2 + 2 + -3y = 1 + 2

Combine like terms: -2 + 2 = 0
0 + -3y = 1 + 2
-3y = 1 + 2

Combine like terms: 1 + 2 = 3
-3y = 3

Divide each side by '-3'.
y = -1

Simplifying
y = -1

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