-4(y-4)=6(y-2)

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Solution for -4(y-4)=6(y-2) equation:


Simplifying
-4(y + -4) = 6(y + -2)

Reorder the terms:
-4(-4 + y) = 6(y + -2)
(-4 * -4 + y * -4) = 6(y + -2)
(16 + -4y) = 6(y + -2)

Reorder the terms:
16 + -4y = 6(-2 + y)
16 + -4y = (-2 * 6 + y * 6)
16 + -4y = (-12 + 6y)

Solving
16 + -4y = -12 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
16 + -4y + -6y = -12 + 6y + -6y

Combine like terms: -4y + -6y = -10y
16 + -10y = -12 + 6y + -6y

Combine like terms: 6y + -6y = 0
16 + -10y = -12 + 0
16 + -10y = -12

Add '-16' to each side of the equation.
16 + -16 + -10y = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -10y = -12 + -16
-10y = -12 + -16

Combine like terms: -12 + -16 = -28
-10y = -28

Divide each side by '-10'.
y = 2.8

Simplifying
y = 2.8

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