6(2y-5)+7y=46

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Solution for 6(2y-5)+7y=46 equation:


Simplifying
6(2y + -5) + 7y = 46

Reorder the terms:
6(-5 + 2y) + 7y = 46
(-5 * 6 + 2y * 6) + 7y = 46
(-30 + 12y) + 7y = 46

Combine like terms: 12y + 7y = 19y
-30 + 19y = 46

Solving
-30 + 19y = 46

Solving for variable 'y'.

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

Add '30' to each side of the equation.
-30 + 30 + 19y = 46 + 30

Combine like terms: -30 + 30 = 0
0 + 19y = 46 + 30
19y = 46 + 30

Combine like terms: 46 + 30 = 76
19y = 76

Divide each side by '19'.
y = 4

Simplifying
y = 4

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