(-5y+1)-(-4y-6)=1

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


Simplifying
(-5y + 1) + -1(-4y + -6) = 1

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

Remove parenthesis around (1 + -5y)
1 + -5y + -1(-4y + -6) = 1

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

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

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

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

Solving
7 + -1y = 1

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

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

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

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

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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