2(y-13)+19=4(2y-15)-5

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Solution for 2(y-13)+19=4(2y-15)-5 equation: 


Simplifying
2(y + -13) + 19 = 4(2y + -15) + -5

Reorder the terms:
2(-13 + y) + 19 = 4(2y + -15) + -5
(-13 * 2 + y * 2) + 19 = 4(2y + -15) + -5
(-26 + 2y) + 19 = 4(2y + -15) + -5

Reorder the terms:
-26 + 19 + 2y = 4(2y + -15) + -5

Combine like terms: -26 + 19 = -7
-7 + 2y = 4(2y + -15) + -5

Reorder the terms:
-7 + 2y = 4(-15 + 2y) + -5
-7 + 2y = (-15 * 4 + 2y * 4) + -5
-7 + 2y = (-60 + 8y) + -5

Reorder the terms:
-7 + 2y = -60 + -5 + 8y

Combine like terms: -60 + -5 = -65
-7 + 2y = -65 + 8y

Solving
-7 + 2y = -65 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-7 + 2y + -8y = -65 + 8y + -8y

Combine like terms: 2y + -8y = -6y
-7 + -6y = -65 + 8y + -8y

Combine like terms: 8y + -8y = 0
-7 + -6y = -65 + 0
-7 + -6y = -65

Add '7' to each side of the equation.
-7 + 7 + -6y = -65 + 7

Combine like terms: -7 + 7 = 0
0 + -6y = -65 + 7
-6y = -65 + 7

Combine like terms: -65 + 7 = -58
-6y = -58

Divide each side by '-6'.
y = 9.666666667

Simplifying
y = 9.666666667

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