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

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


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

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

Reorder the terms:
-21 + 7y = 6(-7 + y) + 5
-21 + 7y = (-7 * 6 + y * 6) + 5
-21 + 7y = (-42 + 6y) + 5

Reorder the terms:
-21 + 7y = -42 + 5 + 6y

Combine like terms: -42 + 5 = -37
-21 + 7y = -37 + 6y

Solving
-21 + 7y = -37 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-21 + 7y + -6y = -37 + 6y + -6y

Combine like terms: 7y + -6y = 1y
-21 + 1y = -37 + 6y + -6y

Combine like terms: 6y + -6y = 0
-21 + 1y = -37 + 0
-21 + 1y = -37

Add '21' to each side of the equation.
-21 + 21 + 1y = -37 + 21

Combine like terms: -21 + 21 = 0
0 + 1y = -37 + 21
1y = -37 + 21

Combine like terms: -37 + 21 = -16
1y = -16

Divide each side by '1'.
y = -16

Simplifying
y = -16

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