26=7y+5(y+4)

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Solution for 26=7y+5(y+4) equation:


Simplifying
26 = 7y + 5(y + 4)

Reorder the terms:
26 = 7y + 5(4 + y)
26 = 7y + (4 * 5 + y * 5)
26 = 7y + (20 + 5y)

Reorder the terms:
26 = 20 + 7y + 5y

Combine like terms: 7y + 5y = 12y
26 = 20 + 12y

Solving
26 = 20 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
26 + -12y = 20 + 12y + -12y

Combine like terms: 12y + -12y = 0
26 + -12y = 20 + 0
26 + -12y = 20

Add '-26' to each side of the equation.
26 + -26 + -12y = 20 + -26

Combine like terms: 26 + -26 = 0
0 + -12y = 20 + -26
-12y = 20 + -26

Combine like terms: 20 + -26 = -6
-12y = -6

Divide each side by '-12'.
y = 0.5

Simplifying
y = 0.5

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