(Y-3)2+4(y-5)=-3x

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Solution for (Y-3)2+4(y-5)=-3x equation: 


Simplifying
(Y + -3) * 2 + 4(y + -5) = -3x

Reorder the terms:
(-3 + Y) * 2 + 4(y + -5) = -3x

Reorder the terms for easier multiplication:
2(-3 + Y) + 4(y + -5) = -3x
(-3 * 2 + Y * 2) + 4(y + -5) = -3x
(-6 + 2Y) + 4(y + -5) = -3x

Reorder the terms:
-6 + 2Y + 4(-5 + y) = -3x
-6 + 2Y + (-5 * 4 + y * 4) = -3x
-6 + 2Y + (-20 + 4y) = -3x

Reorder the terms:
-6 + -20 + 2Y + 4y = -3x

Combine like terms: -6 + -20 = -26
-26 + 2Y + 4y = -3x

Solving
-26 + 2Y + 4y = -3x

Solving for variable 'Y'.

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

Add '26' to each side of the equation.
-26 + 2Y + 26 + 4y = 26 + -3x

Reorder the terms:
-26 + 26 + 2Y + 4y = 26 + -3x

Combine like terms: -26 + 26 = 0
0 + 2Y + 4y = 26 + -3x
2Y + 4y = 26 + -3x

Add '-4y' to each side of the equation.
2Y + 4y + -4y = 26 + -3x + -4y

Combine like terms: 4y + -4y = 0
2Y + 0 = 26 + -3x + -4y
2Y = 26 + -3x + -4y

Divide each side by '2'.
Y = 13 + -1.5x + -2y

Simplifying
Y = 13 + -1.5x + -2y

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