5(2y-7)+8(y+6)=36

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Solution for 5(2y-7)+8(y+6)=36 equation:


Simplifying
5(2y + -7) + 8(y + 6) = 36

Reorder the terms:
5(-7 + 2y) + 8(y + 6) = 36
(-7 * 5 + 2y * 5) + 8(y + 6) = 36
(-35 + 10y) + 8(y + 6) = 36

Reorder the terms:
-35 + 10y + 8(6 + y) = 36
-35 + 10y + (6 * 8 + y * 8) = 36
-35 + 10y + (48 + 8y) = 36

Reorder the terms:
-35 + 48 + 10y + 8y = 36

Combine like terms: -35 + 48 = 13
13 + 10y + 8y = 36

Combine like terms: 10y + 8y = 18y
13 + 18y = 36

Solving
13 + 18y = 36

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + 18y = 36 + -13

Combine like terms: 13 + -13 = 0
0 + 18y = 36 + -13
18y = 36 + -13

Combine like terms: 36 + -13 = 23
18y = 23

Divide each side by '18'.
y = 1.277777778

Simplifying
y = 1.277777778

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