3y+8(y-6)=7

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Solution for 3y+8(y-6)=7 equation:


Simplifying
3y + 8(y + -6) = 7

Reorder the terms:
3y + 8(-6 + y) = 7
3y + (-6 * 8 + y * 8) = 7
3y + (-48 + 8y) = 7

Reorder the terms:
-48 + 3y + 8y = 7

Combine like terms: 3y + 8y = 11y
-48 + 11y = 7

Solving
-48 + 11y = 7

Solving for variable 'y'.

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

Add '48' to each side of the equation.
-48 + 48 + 11y = 7 + 48

Combine like terms: -48 + 48 = 0
0 + 11y = 7 + 48
11y = 7 + 48

Combine like terms: 7 + 48 = 55
11y = 55

Divide each side by '11'.
y = 5

Simplifying
y = 5

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