3y+8=7y-5

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Solution for 3y+8=7y-5 equation:


Simplifying
3y + 8 = 7y + -5

Reorder the terms:
8 + 3y = 7y + -5

Reorder the terms:
8 + 3y = -5 + 7y

Solving
8 + 3y = -5 + 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.
8 + 3y + -7y = -5 + 7y + -7y

Combine like terms: 3y + -7y = -4y
8 + -4y = -5 + 7y + -7y

Combine like terms: 7y + -7y = 0
8 + -4y = -5 + 0
8 + -4y = -5

Add '-8' to each side of the equation.
8 + -8 + -4y = -5 + -8

Combine like terms: 8 + -8 = 0
0 + -4y = -5 + -8
-4y = -5 + -8

Combine like terms: -5 + -8 = -13
-4y = -13

Divide each side by '-4'.
y = 3.25

Simplifying
y = 3.25

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