5y+1=4y-6

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Solution for 5y+1=4y-6 equation:


Simplifying
5y + 1 = 4y + -6

Reorder the terms:
1 + 5y = 4y + -6

Reorder the terms:
1 + 5y = -6 + 4y

Solving
1 + 5y = -6 + 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 + 5y + -4y = -6 + 4y + -4y

Combine like terms: 5y + -4y = 1y
1 + 1y = -6 + 4y + -4y

Combine like terms: 4y + -4y = 0
1 + 1y = -6 + 0
1 + 1y = -6

Add '-1' to each side of the equation.
1 + -1 + 1y = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 1y = -6 + -1
1y = -6 + -1

Combine like terms: -6 + -1 = -7
1y = -7

Divide each side by '1'.
y = -7

Simplifying
y = -7

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