y-3=4(-4y+6)

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


Simplifying
y + -3 = 4(-4y + 6)

Reorder the terms:
-3 + y = 4(-4y + 6)

Reorder the terms:
-3 + y = 4(6 + -4y)
-3 + y = (6 * 4 + -4y * 4)
-3 + y = (24 + -16y)

Solving
-3 + y = 24 + -16y

Solving for variable 'y'.

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

Add '16y' to each side of the equation.
-3 + y + 16y = 24 + -16y + 16y

Combine like terms: y + 16y = 17y
-3 + 17y = 24 + -16y + 16y

Combine like terms: -16y + 16y = 0
-3 + 17y = 24 + 0
-3 + 17y = 24

Add '3' to each side of the equation.
-3 + 3 + 17y = 24 + 3

Combine like terms: -3 + 3 = 0
0 + 17y = 24 + 3
17y = 24 + 3

Combine like terms: 24 + 3 = 27
17y = 27

Divide each side by '17'.
y = 1.588235294

Simplifying
y = 1.588235294

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