5y+7=4y-6

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Solution for 5y+7=4y-6 equation:


Simplifying
5y + 7 = 4y + -6

Reorder the terms:
7 + 5y = 4y + -6

Reorder the terms:
7 + 5y = -6 + 4y

Solving
7 + 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.
7 + 5y + -4y = -6 + 4y + -4y

Combine like terms: 5y + -4y = 1y
7 + 1y = -6 + 4y + -4y

Combine like terms: 4y + -4y = 0
7 + 1y = -6 + 0
7 + 1y = -6

Add '-7' to each side of the equation.
7 + -7 + 1y = -6 + -7

Combine like terms: 7 + -7 = 0
0 + 1y = -6 + -7
1y = -6 + -7

Combine like terms: -6 + -7 = -13
1y = -13

Divide each side by '1'.
y = -13

Simplifying
y = -13

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