-4-7(-5-1)=3(7y+6)+5

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Solution for -4-7(-5-1)=3(7y+6)+5 equation:


Simplifying
-4 + -7(-5 + -1) = 3(7y + 6) + 5

Combine like terms: -5 + -1 = -6
-4 + -7(-6) = 3(7y + 6) + 5

Multiply -7 * -6
-4 + 42 = 3(7y + 6) + 5

Combine like terms: -4 + 42 = 38
38 = 3(7y + 6) + 5

Reorder the terms:
38 = 3(6 + 7y) + 5
38 = (6 * 3 + 7y * 3) + 5
38 = (18 + 21y) + 5

Reorder the terms:
38 = 18 + 5 + 21y

Combine like terms: 18 + 5 = 23
38 = 23 + 21y

Solving
38 = 23 + 21y

Solving for variable 'y'.

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

Add '-21y' to each side of the equation.
38 + -21y = 23 + 21y + -21y

Combine like terms: 21y + -21y = 0
38 + -21y = 23 + 0
38 + -21y = 23

Add '-38' to each side of the equation.
38 + -38 + -21y = 23 + -38

Combine like terms: 38 + -38 = 0
0 + -21y = 23 + -38
-21y = 23 + -38

Combine like terms: 23 + -38 = -15
-21y = -15

Divide each side by '-21'.
y = 0.7142857143

Simplifying
y = 0.7142857143

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