2(y-1)-7(y-3)=93

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Solution for 2(y-1)-7(y-3)=93 equation: 


Simplifying
2(y + -1) + -7(y + -3) = 93

Reorder the terms:
2(-1 + y) + -7(y + -3) = 93
(-1 * 2 + y * 2) + -7(y + -3) = 93
(-2 + 2y) + -7(y + -3) = 93

Reorder the terms:
-2 + 2y + -7(-3 + y) = 93
-2 + 2y + (-3 * -7 + y * -7) = 93
-2 + 2y + (21 + -7y) = 93

Reorder the terms:
-2 + 21 + 2y + -7y = 93

Combine like terms: -2 + 21 = 19
19 + 2y + -7y = 93

Combine like terms: 2y + -7y = -5y
19 + -5y = 93

Solving
19 + -5y = 93

Solving for variable 'y'.

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

Add '-19' to each side of the equation.
19 + -19 + -5y = 93 + -19

Combine like terms: 19 + -19 = 0
0 + -5y = 93 + -19
-5y = 93 + -19

Combine like terms: 93 + -19 = 74
-5y = 74

Divide each side by '-5'.
y = -14.8

Simplifying
y = -14.8

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