3y-7=4y+10

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Solution for 3y-7=4y+10 equation:


Simplifying
3y + -7 = 4y + 10

Reorder the terms:
-7 + 3y = 4y + 10

Reorder the terms:
-7 + 3y = 10 + 4y

Solving
-7 + 3y = 10 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-7 + 3y + -4y = 10 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-7 + -1y = 10 + 4y + -4y

Combine like terms: 4y + -4y = 0
-7 + -1y = 10 + 0
-7 + -1y = 10

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

Combine like terms: -7 + 7 = 0
0 + -1y = 10 + 7
-1y = 10 + 7

Combine like terms: 10 + 7 = 17
-1y = 17

Divide each side by '-1'.
y = -17

Simplifying
y = -17

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