y+6(z-2)=5z+2

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Solution for y+6(z-2)=5z+2 equation:


Simplifying
y + 6(z + -2) = 5z + 2

Reorder the terms:
y + 6(-2 + z) = 5z + 2
y + (-2 * 6 + z * 6) = 5z + 2
y + (-12 + 6z) = 5z + 2

Reorder the terms:
-12 + y + 6z = 5z + 2

Reorder the terms:
-12 + y + 6z = 2 + 5z

Solving
-12 + y + 6z = 2 + 5z

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + y + 12 + 6z = 2 + 12 + 5z

Reorder the terms:
-12 + 12 + y + 6z = 2 + 12 + 5z

Combine like terms: -12 + 12 = 0
0 + y + 6z = 2 + 12 + 5z
y + 6z = 2 + 12 + 5z

Combine like terms: 2 + 12 = 14
y + 6z = 14 + 5z

Add '-6z' to each side of the equation.
y + 6z + -6z = 14 + 5z + -6z

Combine like terms: 6z + -6z = 0
y + 0 = 14 + 5z + -6z
y = 14 + 5z + -6z

Combine like terms: 5z + -6z = -1z
y = 14 + -1z

Simplifying
y = 14 + -1z

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