(y-7)-(y+4)=-10y

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Solution for (y-7)-(y+4)=-10y equation:


Simplifying
(y + -7) + -1(y + 4) = -10y

Reorder the terms:
(-7 + y) + -1(y + 4) = -10y

Remove parenthesis around (-7 + y)
-7 + y + -1(y + 4) = -10y

Reorder the terms:
-7 + y + -1(4 + y) = -10y
-7 + y + (4 * -1 + y * -1) = -10y
-7 + y + (-4 + -1y) = -10y

Reorder the terms:
-7 + -4 + y + -1y = -10y

Combine like terms: -7 + -4 = -11
-11 + y + -1y = -10y

Combine like terms: y + -1y = 0
-11 + 0 = -10y
-11 = -10y

Solving
-11 = -10y

Solving for variable 'y'.

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

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

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

Add '11' to each side of the equation.
-11 + 11 + 10y = 0 + 11

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

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

Divide each side by '10'.
y = 1.1

Simplifying
y = 1.1

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