6(y+7)-4y=36

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Solution for 6(y+7)-4y=36 equation:


Simplifying
6(y + 7) + -4y = 36

Reorder the terms:
6(7 + y) + -4y = 36
(7 * 6 + y * 6) + -4y = 36
(42 + 6y) + -4y = 36

Combine like terms: 6y + -4y = 2y
42 + 2y = 36

Solving
42 + 2y = 36

Solving for variable 'y'.

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

Add '-42' to each side of the equation.
42 + -42 + 2y = 36 + -42

Combine like terms: 42 + -42 = 0
0 + 2y = 36 + -42
2y = 36 + -42

Combine like terms: 36 + -42 = -6
2y = -6

Divide each side by '2'.
y = -3

Simplifying
y = -3

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