19y-6=6(y+3)-10

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Solution for 19y-6=6(y+3)-10 equation:


Simplifying
19y + -6 = 6(y + 3) + -10

Reorder the terms:
-6 + 19y = 6(y + 3) + -10

Reorder the terms:
-6 + 19y = 6(3 + y) + -10
-6 + 19y = (3 * 6 + y * 6) + -10
-6 + 19y = (18 + 6y) + -10

Reorder the terms:
-6 + 19y = 18 + -10 + 6y

Combine like terms: 18 + -10 = 8
-6 + 19y = 8 + 6y

Solving
-6 + 19y = 8 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-6 + 19y + -6y = 8 + 6y + -6y

Combine like terms: 19y + -6y = 13y
-6 + 13y = 8 + 6y + -6y

Combine like terms: 6y + -6y = 0
-6 + 13y = 8 + 0
-6 + 13y = 8

Add '6' to each side of the equation.
-6 + 6 + 13y = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 13y = 8 + 6
13y = 8 + 6

Combine like terms: 8 + 6 = 14
13y = 14

Divide each side by '13'.
y = 1.076923077

Simplifying
y = 1.076923077

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