8(2y+7)-6=26y+2

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Solution for 8(2y+7)-6=26y+2 equation:


Simplifying
8(2y + 7) + -6 = 26y + 2

Reorder the terms:
8(7 + 2y) + -6 = 26y + 2
(7 * 8 + 2y * 8) + -6 = 26y + 2
(56 + 16y) + -6 = 26y + 2

Reorder the terms:
56 + -6 + 16y = 26y + 2

Combine like terms: 56 + -6 = 50
50 + 16y = 26y + 2

Reorder the terms:
50 + 16y = 2 + 26y

Solving
50 + 16y = 2 + 26y

Solving for variable 'y'.

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

Add '-26y' to each side of the equation.
50 + 16y + -26y = 2 + 26y + -26y

Combine like terms: 16y + -26y = -10y
50 + -10y = 2 + 26y + -26y

Combine like terms: 26y + -26y = 0
50 + -10y = 2 + 0
50 + -10y = 2

Add '-50' to each side of the equation.
50 + -50 + -10y = 2 + -50

Combine like terms: 50 + -50 = 0
0 + -10y = 2 + -50
-10y = 2 + -50

Combine like terms: 2 + -50 = -48
-10y = -48

Divide each side by '-10'.
y = 4.8

Simplifying
y = 4.8

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