4y+1=2y-7

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


Simplifying
4y + 1 = 2y + -7

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

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

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

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

Combine like terms: 2y + -2y = 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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