4y+10=7y-23

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Solution for 4y+10=7y-23 equation:


Simplifying
4y + 10 = 7y + -23

Reorder the terms:
10 + 4y = 7y + -23

Reorder the terms:
10 + 4y = -23 + 7y

Solving
10 + 4y = -23 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
10 + 4y + -7y = -23 + 7y + -7y

Combine like terms: 4y + -7y = -3y
10 + -3y = -23 + 7y + -7y

Combine like terms: 7y + -7y = 0
10 + -3y = -23 + 0
10 + -3y = -23

Add '-10' to each side of the equation.
10 + -10 + -3y = -23 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = -23 + -10
-3y = -23 + -10

Combine like terms: -23 + -10 = -33
-3y = -33

Divide each side by '-3'.
y = 11

Simplifying
y = 11

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