4(y+5)=8y-5

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


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

Reorder the terms:
4(5 + y) = 8y + -5
(5 * 4 + y * 4) = 8y + -5
(20 + 4y) = 8y + -5

Reorder the terms:
20 + 4y = -5 + 8y

Solving
20 + 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.
20 + 4y + -8y = -5 + 8y + -8y

Combine like terms: 4y + -8y = -4y
20 + -4y = -5 + 8y + -8y

Combine like terms: 8y + -8y = 0
20 + -4y = -5 + 0
20 + -4y = -5

Add '-20' to each side of the equation.
20 + -20 + -4y = -5 + -20

Combine like terms: 20 + -20 = 0
0 + -4y = -5 + -20
-4y = -5 + -20

Combine like terms: -5 + -20 = -25
-4y = -25

Divide each side by '-4'.
y = 6.25

Simplifying
y = 6.25

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