-4+(6y-7)=4(-y+1)+7

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Solution for -4+(6y-7)=4(-y+1)+7 equation: 


Simplifying
-4 + (6y + -7) = 4(-1y + 1) + 7

Reorder the terms:
-4 + (-7 + 6y) = 4(-1y + 1) + 7

Remove parenthesis around (-7 + 6y)
-4 + -7 + 6y = 4(-1y + 1) + 7

Combine like terms: -4 + -7 = -11
-11 + 6y = 4(-1y + 1) + 7

Reorder the terms:
-11 + 6y = 4(1 + -1y) + 7
-11 + 6y = (1 * 4 + -1y * 4) + 7
-11 + 6y = (4 + -4y) + 7

Reorder the terms:
-11 + 6y = 4 + 7 + -4y

Combine like terms: 4 + 7 = 11
-11 + 6y = 11 + -4y

Solving
-11 + 6y = 11 + -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.
-11 + 6y + 4y = 11 + -4y + 4y

Combine like terms: 6y + 4y = 10y
-11 + 10y = 11 + -4y + 4y

Combine like terms: -4y + 4y = 0
-11 + 10y = 11 + 0
-11 + 10y = 11

Add '11' to each side of the equation.
-11 + 11 + 10y = 11 + 11

Combine like terms: -11 + 11 = 0
0 + 10y = 11 + 11
10y = 11 + 11

Combine like terms: 11 + 11 = 22
10y = 22

Divide each side by '10'.
y = 2.2

Simplifying
y = 2.2

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