19-2y-(6-4)(7y-2)+3y+15=0

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Solution for 19-2y-(6-4)(7y-2)+3y+15=0 equation: 


Simplifying
19 + -2y + -1(6 + -4)(7y + -2) + 3y + 15 = 0

Combine like terms: 6 + -4 = 2
19 + -2y + -1(2)(7y + -2) + 3y + 15 = 0

Reorder the terms:
19 + -2y + -1 * 2(-2 + 7y) + 3y + 15 = 0

Multiply -1 * 2
19 + -2y + -2(-2 + 7y) + 3y + 15 = 0
19 + -2y + (-2 * -2 + 7y * -2) + 3y + 15 = 0
19 + -2y + (4 + -14y) + 3y + 15 = 0

Reorder the terms:
19 + 4 + 15 + -2y + -14y + 3y = 0

Combine like terms: 19 + 4 = 23
23 + 15 + -2y + -14y + 3y = 0

Combine like terms: 23 + 15 = 38
38 + -2y + -14y + 3y = 0

Combine like terms: -2y + -14y = -16y
38 + -16y + 3y = 0

Combine like terms: -16y + 3y = -13y
38 + -13y = 0

Solving
38 + -13y = 0

Solving for variable 'y'.

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

Add '-38' to each side of the equation.
38 + -38 + -13y = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -13y = 0 + -38
-13y = 0 + -38

Combine like terms: 0 + -38 = -38
-13y = -38

Divide each side by '-13'.
y = 2.923076923

Simplifying
y = 2.923076923

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