-74+11y+6=4(4y-5)-3

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Solution for -74+11y+6=4(4y-5)-3 equation: 


Simplifying
-74 + 11y + 6 = 4(4y + -5) + -3

Reorder the terms:
-74 + 6 + 11y = 4(4y + -5) + -3

Combine like terms: -74 + 6 = -68
-68 + 11y = 4(4y + -5) + -3

Reorder the terms:
-68 + 11y = 4(-5 + 4y) + -3
-68 + 11y = (-5 * 4 + 4y * 4) + -3
-68 + 11y = (-20 + 16y) + -3

Reorder the terms:
-68 + 11y = -20 + -3 + 16y

Combine like terms: -20 + -3 = -23
-68 + 11y = -23 + 16y

Solving
-68 + 11y = -23 + 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.
-68 + 11y + -16y = -23 + 16y + -16y

Combine like terms: 11y + -16y = -5y
-68 + -5y = -23 + 16y + -16y

Combine like terms: 16y + -16y = 0
-68 + -5y = -23 + 0
-68 + -5y = -23

Add '68' to each side of the equation.
-68 + 68 + -5y = -23 + 68

Combine like terms: -68 + 68 = 0
0 + -5y = -23 + 68
-5y = -23 + 68

Combine like terms: -23 + 68 = 45
-5y = 45

Divide each side by '-5'.
y = -9

Simplifying
y = -9

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