4y+5=2y-7

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Solution for 4y+5=2y-7 equation:


Simplifying
4y + 5 = 2y + -7

Reorder the terms:
5 + 4y = 2y + -7

Reorder the terms:
5 + 4y = -7 + 2y

Solving
5 + 4y = -7 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.
5 + 4y + -2y = -7 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
5 + 2y = -7 + 0
5 + 2y = -7

Add '-5' to each side of the equation.
5 + -5 + 2y = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 2y = -7 + -5
2y = -7 + -5

Combine like terms: -7 + -5 = -12
2y = -12

Divide each side by '2'.
y = -6

Simplifying
y = -6

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