2y-3=4y-7

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Solution for 2y-3=4y-7 equation:


Simplifying
2y + -3 = 4y + -7

Reorder the terms:
-3 + 2y = 4y + -7

Reorder the terms:
-3 + 2y = -7 + 4y

Solving
-3 + 2y = -7 + 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.
-3 + 2y + -4y = -7 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-3 + -2y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
-3 + -2y = -7 + 0
-3 + -2y = -7

Add '3' to each side of the equation.
-3 + 3 + -2y = -7 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = -7 + 3
-2y = -7 + 3

Combine like terms: -7 + 3 = -4
-2y = -4

Divide each side by '-2'.
y = 2

Simplifying
y = 2

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