5(2y-7)+8(7+6)=31

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Solution for 5(2y-7)+8(7+6)=31 equation:


Simplifying
5(2y + -7) + 8(7 + 6) = 31

Reorder the terms:
5(-7 + 2y) + 8(7 + 6) = 31
(-7 * 5 + 2y * 5) + 8(7 + 6) = 31
(-35 + 10y) + 8(7 + 6) = 31

Combine like terms: 7 + 6 = 13
-35 + 10y + 8(13) = 31

Multiply 8 * 13
-35 + 10y + 104 = 31

Reorder the terms:
-35 + 104 + 10y = 31

Combine like terms: -35 + 104 = 69
69 + 10y = 31

Solving
69 + 10y = 31

Solving for variable 'y'.

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

Add '-69' to each side of the equation.
69 + -69 + 10y = 31 + -69

Combine like terms: 69 + -69 = 0
0 + 10y = 31 + -69
10y = 31 + -69

Combine like terms: 31 + -69 = -38
10y = -38

Divide each side by '10'.
y = -3.8

Simplifying
y = -3.8

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