7y-5=4(2x+y)-3

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Solution for 7y-5=4(2x+y)-3 equation:


Simplifying
7y + -5 = 4(2x + y) + -3

Reorder the terms:
-5 + 7y = 4(2x + y) + -3
-5 + 7y = (2x * 4 + y * 4) + -3
-5 + 7y = (8x + 4y) + -3

Reorder the terms:
-5 + 7y = -3 + 8x + 4y

Solving
-5 + 7y = -3 + 8x + 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.
-5 + 7y + -4y = -3 + 8x + 4y + -4y

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

Combine like terms: 4y + -4y = 0
-5 + 3y = -3 + 8x + 0
-5 + 3y = -3 + 8x

Add '5' to each side of the equation.
-5 + 5 + 3y = -3 + 5 + 8x

Combine like terms: -5 + 5 = 0
0 + 3y = -3 + 5 + 8x
3y = -3 + 5 + 8x

Combine like terms: -3 + 5 = 2
3y = 2 + 8x

Divide each side by '3'.
y = 0.6666666667 + 2.666666667x

Simplifying
y = 0.6666666667 + 2.666666667x

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