(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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