2y+7=4y-9

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Solution for 2y+7=4y-9 equation:


Simplifying
2y + 7 = 4y + -9

Reorder the terms:
7 + 2y = 4y + -9

Reorder the terms:
7 + 2y = -9 + 4y

Solving
7 + 2y = -9 + 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.
7 + 2y + -4y = -9 + 4y + -4y

Combine like terms: 2y + -4y = -2y
7 + -2y = -9 + 4y + -4y

Combine like terms: 4y + -4y = 0
7 + -2y = -9 + 0
7 + -2y = -9

Add '-7' to each side of the equation.
7 + -7 + -2y = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = -9 + -7
-2y = -9 + -7

Combine like terms: -9 + -7 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8

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