5-2(3-2y)=4(6-4)+8

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Solution for 5-2(3-2y)=4(6-4)+8 equation:


Simplifying
5 + -2(3 + -2y) = 4(6 + -4) + 8
5 + (3 * -2 + -2y * -2) = 4(6 + -4) + 8
5 + (-6 + 4y) = 4(6 + -4) + 8

Combine like terms: 5 + -6 = -1
-1 + 4y = 4(6 + -4) + 8

Combine like terms: 6 + -4 = 2
-1 + 4y = 4(2) + 8

Multiply 4 * 2
-1 + 4y = 8 + 8

Combine like terms: 8 + 8 = 16
-1 + 4y = 16

Solving
-1 + 4y = 16

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + 4y = 16 + 1

Combine like terms: -1 + 1 = 0
0 + 4y = 16 + 1
4y = 16 + 1

Combine like terms: 16 + 1 = 17
4y = 17

Divide each side by '4'.
y = 4.25

Simplifying
y = 4.25

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