-53+10y+4=4(4y-2)-5

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Solution for -53+10y+4=4(4y-2)-5 equation:


Simplifying
-53 + 10y + 4 = 4(4y + -2) + -5

Reorder the terms:
-53 + 4 + 10y = 4(4y + -2) + -5

Combine like terms: -53 + 4 = -49
-49 + 10y = 4(4y + -2) + -5

Reorder the terms:
-49 + 10y = 4(-2 + 4y) + -5
-49 + 10y = (-2 * 4 + 4y * 4) + -5
-49 + 10y = (-8 + 16y) + -5

Reorder the terms:
-49 + 10y = -8 + -5 + 16y

Combine like terms: -8 + -5 = -13
-49 + 10y = -13 + 16y

Solving
-49 + 10y = -13 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-49 + 10y + -16y = -13 + 16y + -16y

Combine like terms: 10y + -16y = -6y
-49 + -6y = -13 + 16y + -16y

Combine like terms: 16y + -16y = 0
-49 + -6y = -13 + 0
-49 + -6y = -13

Add '49' to each side of the equation.
-49 + 49 + -6y = -13 + 49

Combine like terms: -49 + 49 = 0
0 + -6y = -13 + 49
-6y = -13 + 49

Combine like terms: -13 + 49 = 36
-6y = 36

Divide each side by '-6'.
y = -6

Simplifying
y = -6

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