2y+3=7y-4

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


Simplifying
2y + 3 = 7y + -4

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

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

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

Combine like terms: 2y + -7y = -5y
3 + -5y = -4 + 7y + -7y

Combine like terms: 7y + -7y = 0
3 + -5y = -4 + 0
3 + -5y = -4

Add '-3' to each side of the equation.
3 + -3 + -5y = -4 + -3

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

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

Divide each side by '-5'.
y = 1.4

Simplifying
y = 1.4

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