2-19y=-7(6y-20)

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Solution for 2-19y=-7(6y-20) equation: 


Simplifying
2 + -19y = -7(6y + -20)

Reorder the terms:
2 + -19y = -7(-20 + 6y)
2 + -19y = (-20 * -7 + 6y * -7)
2 + -19y = (140 + -42y)

Solving
2 + -19y = 140 + -42y

Solving for variable 'y'.

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

Add '42y' to each side of the equation.
2 + -19y + 42y = 140 + -42y + 42y

Combine like terms: -19y + 42y = 23y
2 + 23y = 140 + -42y + 42y

Combine like terms: -42y + 42y = 0
2 + 23y = 140 + 0
2 + 23y = 140

Add '-2' to each side of the equation.
2 + -2 + 23y = 140 + -2

Combine like terms: 2 + -2 = 0
0 + 23y = 140 + -2
23y = 140 + -2

Combine like terms: 140 + -2 = 138
23y = 138

Divide each side by '23'.
y = 6

Simplifying
y = 6

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