-53+10y+6=5(3y-4)-7

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Solution for -53+10y+6=5(3y-4)-7 equation:


Simplifying
-53 + 10y + 6 = 5(3y + -4) + -7

Reorder the terms:
-53 + 6 + 10y = 5(3y + -4) + -7

Combine like terms: -53 + 6 = -47
-47 + 10y = 5(3y + -4) + -7

Reorder the terms:
-47 + 10y = 5(-4 + 3y) + -7
-47 + 10y = (-4 * 5 + 3y * 5) + -7
-47 + 10y = (-20 + 15y) + -7

Reorder the terms:
-47 + 10y = -20 + -7 + 15y

Combine like terms: -20 + -7 = -27
-47 + 10y = -27 + 15y

Solving
-47 + 10y = -27 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-47 + 10y + -15y = -27 + 15y + -15y

Combine like terms: 10y + -15y = -5y
-47 + -5y = -27 + 15y + -15y

Combine like terms: 15y + -15y = 0
-47 + -5y = -27 + 0
-47 + -5y = -27

Add '47' to each side of the equation.
-47 + 47 + -5y = -27 + 47

Combine like terms: -47 + 47 = 0
0 + -5y = -27 + 47
-5y = -27 + 47

Combine like terms: -27 + 47 = 20
-5y = 20

Divide each side by '-5'.
y = -4

Simplifying
y = -4

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