2y+1=4y-7

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Solution for 2y+1=4y-7 equation:


Simplifying
2y + 1 = 4y + -7

Reorder the terms:
1 + 2y = 4y + -7

Reorder the terms:
1 + 2y = -7 + 4y

Solving
1 + 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.
1 + 2y + -4y = -7 + 4y + -4y

Combine like terms: 2y + -4y = -2y
1 + -2y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
1 + -2y = -7 + 0
1 + -2y = -7

Add '-1' to each side of the equation.
1 + -1 + -2y = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = -7 + -1
-2y = -7 + -1

Combine like terms: -7 + -1 = -8
-2y = -8

Divide each side by '-2'.
y = 4

Simplifying
y = 4

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