3y-7=10y+49

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Solution for 3y-7=10y+49 equation:


Simplifying
3y + -7 = 10y + 49

Reorder the terms:
-7 + 3y = 10y + 49

Reorder the terms:
-7 + 3y = 49 + 10y

Solving
-7 + 3y = 49 + 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.
-7 + 3y + -10y = 49 + 10y + -10y

Combine like terms: 3y + -10y = -7y
-7 + -7y = 49 + 10y + -10y

Combine like terms: 10y + -10y = 0
-7 + -7y = 49 + 0
-7 + -7y = 49

Add '7' to each side of the equation.
-7 + 7 + -7y = 49 + 7

Combine like terms: -7 + 7 = 0
0 + -7y = 49 + 7
-7y = 49 + 7

Combine like terms: 49 + 7 = 56
-7y = 56

Divide each side by '-7'.
y = -8

Simplifying
y = -8

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