4(4y-3)-(y-5)=-52

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Solution for 4(4y-3)-(y-5)=-52 equation:


Simplifying
4(4y + -3) + -1(y + -5) = -52

Reorder the terms:
4(-3 + 4y) + -1(y + -5) = -52
(-3 * 4 + 4y * 4) + -1(y + -5) = -52
(-12 + 16y) + -1(y + -5) = -52

Reorder the terms:
-12 + 16y + -1(-5 + y) = -52
-12 + 16y + (-5 * -1 + y * -1) = -52
-12 + 16y + (5 + -1y) = -52

Reorder the terms:
-12 + 5 + 16y + -1y = -52

Combine like terms: -12 + 5 = -7
-7 + 16y + -1y = -52

Combine like terms: 16y + -1y = 15y
-7 + 15y = -52

Solving
-7 + 15y = -52

Solving for variable 'y'.

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

Add '7' to each side of the equation.
-7 + 7 + 15y = -52 + 7

Combine like terms: -7 + 7 = 0
0 + 15y = -52 + 7
15y = -52 + 7

Combine like terms: -52 + 7 = -45
15y = -45

Divide each side by '15'.
y = -3

Simplifying
y = -3

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