2(y-2)+7(3y-1)=35

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Solution for 2(y-2)+7(3y-1)=35 equation: 


Simplifying
2(y + -2) + 7(3y + -1) = 35

Reorder the terms:
2(-2 + y) + 7(3y + -1) = 35
(-2 * 2 + y * 2) + 7(3y + -1) = 35
(-4 + 2y) + 7(3y + -1) = 35

Reorder the terms:
-4 + 2y + 7(-1 + 3y) = 35
-4 + 2y + (-1 * 7 + 3y * 7) = 35
-4 + 2y + (-7 + 21y) = 35

Reorder the terms:
-4 + -7 + 2y + 21y = 35

Combine like terms: -4 + -7 = -11
-11 + 2y + 21y = 35

Combine like terms: 2y + 21y = 23y
-11 + 23y = 35

Solving
-11 + 23y = 35

Solving for variable 'y'.

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

Add '11' to each side of the equation.
-11 + 11 + 23y = 35 + 11

Combine like terms: -11 + 11 = 0
0 + 23y = 35 + 11
23y = 35 + 11

Combine like terms: 35 + 11 = 46
23y = 46

Divide each side by '23'.
y = 2

Simplifying
y = 2

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