4y-3(5y-13)=105

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Solution for 4y-3(5y-13)=105 equation:


Simplifying
4y + -3(5y + -13) = 105

Reorder the terms:
4y + -3(-13 + 5y) = 105
4y + (-13 * -3 + 5y * -3) = 105
4y + (39 + -15y) = 105

Reorder the terms:
39 + 4y + -15y = 105

Combine like terms: 4y + -15y = -11y
39 + -11y = 105

Solving
39 + -11y = 105

Solving for variable 'y'.

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

Add '-39' to each side of the equation.
39 + -39 + -11y = 105 + -39

Combine like terms: 39 + -39 = 0
0 + -11y = 105 + -39
-11y = 105 + -39

Combine like terms: 105 + -39 = 66
-11y = 66

Divide each side by '-11'.
y = -6

Simplifying
y = -6

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