2(2y-4)+5=4(4y-3)+10

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Solution for 2(2y-4)+5=4(4y-3)+10 equation:


Simplifying
2(2y + -4) + 5 = 4(4y + -3) + 10

Reorder the terms:
2(-4 + 2y) + 5 = 4(4y + -3) + 10
(-4 * 2 + 2y * 2) + 5 = 4(4y + -3) + 10
(-8 + 4y) + 5 = 4(4y + -3) + 10

Reorder the terms:
-8 + 5 + 4y = 4(4y + -3) + 10

Combine like terms: -8 + 5 = -3
-3 + 4y = 4(4y + -3) + 10

Reorder the terms:
-3 + 4y = 4(-3 + 4y) + 10
-3 + 4y = (-3 * 4 + 4y * 4) + 10
-3 + 4y = (-12 + 16y) + 10

Reorder the terms:
-3 + 4y = -12 + 10 + 16y

Combine like terms: -12 + 10 = -2
-3 + 4y = -2 + 16y

Solving
-3 + 4y = -2 + 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 + 4y + -16y = -2 + 16y + -16y

Combine like terms: 4y + -16y = -12y
-3 + -12y = -2 + 16y + -16y

Combine like terms: 16y + -16y = 0
-3 + -12y = -2 + 0
-3 + -12y = -2

Add '3' to each side of the equation.
-3 + 3 + -12y = -2 + 3

Combine like terms: -3 + 3 = 0
0 + -12y = -2 + 3
-12y = -2 + 3

Combine like terms: -2 + 3 = 1
-12y = 1

Divide each side by '-12'.
y = -0.08333333333

Simplifying
y = -0.08333333333

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