5(y-6)-7=-16

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Solution for 5(y-6)-7=-16 equation:


Simplifying
5(y + -6) + -7 = -16

Reorder the terms:
5(-6 + y) + -7 = -16
(-6 * 5 + y * 5) + -7 = -16
(-30 + 5y) + -7 = -16

Reorder the terms:
-30 + -7 + 5y = -16

Combine like terms: -30 + -7 = -37
-37 + 5y = -16

Solving
-37 + 5y = -16

Solving for variable 'y'.

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

Add '37' to each side of the equation.
-37 + 37 + 5y = -16 + 37

Combine like terms: -37 + 37 = 0
0 + 5y = -16 + 37
5y = -16 + 37

Combine like terms: -16 + 37 = 21
5y = 21

Divide each side by '5'.
y = 4.2

Simplifying
y = 4.2

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