4y+5=7y-10

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Solution for 4y+5=7y-10 equation:


Simplifying
4y + 5 = 7y + -10

Reorder the terms:
5 + 4y = 7y + -10

Reorder the terms:
5 + 4y = -10 + 7y

Solving
5 + 4y = -10 + 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.
5 + 4y + -7y = -10 + 7y + -7y

Combine like terms: 4y + -7y = -3y
5 + -3y = -10 + 7y + -7y

Combine like terms: 7y + -7y = 0
5 + -3y = -10 + 0
5 + -3y = -10

Add '-5' to each side of the equation.
5 + -5 + -3y = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -3y = -10 + -5
-3y = -10 + -5

Combine like terms: -10 + -5 = -15
-3y = -15

Divide each side by '-3'.
y = 5

Simplifying
y = 5

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