3(y-6)+8(y+2)=75

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Solution for 3(y-6)+8(y+2)=75 equation:


Simplifying
3(y + -6) + 8(y + 2) = 75

Reorder the terms:
3(-6 + y) + 8(y + 2) = 75
(-6 * 3 + y * 3) + 8(y + 2) = 75
(-18 + 3y) + 8(y + 2) = 75

Reorder the terms:
-18 + 3y + 8(2 + y) = 75
-18 + 3y + (2 * 8 + y * 8) = 75
-18 + 3y + (16 + 8y) = 75

Reorder the terms:
-18 + 16 + 3y + 8y = 75

Combine like terms: -18 + 16 = -2
-2 + 3y + 8y = 75

Combine like terms: 3y + 8y = 11y
-2 + 11y = 75

Solving
-2 + 11y = 75

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 11y = 75 + 2

Combine like terms: -2 + 2 = 0
0 + 11y = 75 + 2
11y = 75 + 2

Combine like terms: 75 + 2 = 77
11y = 77

Divide each side by '11'.
y = 7

Simplifying
y = 7

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