(y-7)4=-8y+5

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Solution for (y-7)4=-8y+5 equation:


Simplifying
(y + -7) * 4 = -8y + 5

Reorder the terms:
(-7 + y) * 4 = -8y + 5

Reorder the terms for easier multiplication:
4(-7 + y) = -8y + 5
(-7 * 4 + y * 4) = -8y + 5
(-28 + 4y) = -8y + 5

Reorder the terms:
-28 + 4y = 5 + -8y

Solving
-28 + 4y = 5 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-28 + 4y + 8y = 5 + -8y + 8y

Combine like terms: 4y + 8y = 12y
-28 + 12y = 5 + -8y + 8y

Combine like terms: -8y + 8y = 0
-28 + 12y = 5 + 0
-28 + 12y = 5

Add '28' to each side of the equation.
-28 + 28 + 12y = 5 + 28

Combine like terms: -28 + 28 = 0
0 + 12y = 5 + 28
12y = 5 + 28

Combine like terms: 5 + 28 = 33
12y = 33

Divide each side by '12'.
y = 2.75

Simplifying
y = 2.75

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