-10-20(y-15)=-4y-(y-5)

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Solution for -10-20(y-15)=-4y-(y-5) equation: 


Simplifying
-10 + -20(y + -15) = -4y + -1(y + -5)

Reorder the terms:
-10 + -20(-15 + y) = -4y + -1(y + -5)
-10 + (-15 * -20 + y * -20) = -4y + -1(y + -5)
-10 + (300 + -20y) = -4y + -1(y + -5)

Combine like terms: -10 + 300 = 290
290 + -20y = -4y + -1(y + -5)

Reorder the terms:
290 + -20y = -4y + -1(-5 + y)
290 + -20y = -4y + (-5 * -1 + y * -1)
290 + -20y = -4y + (5 + -1y)

Reorder the terms:
290 + -20y = 5 + -4y + -1y

Combine like terms: -4y + -1y = -5y
290 + -20y = 5 + -5y

Solving
290 + -20y = 5 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
290 + -20y + 5y = 5 + -5y + 5y

Combine like terms: -20y + 5y = -15y
290 + -15y = 5 + -5y + 5y

Combine like terms: -5y + 5y = 0
290 + -15y = 5 + 0
290 + -15y = 5

Add '-290' to each side of the equation.
290 + -290 + -15y = 5 + -290

Combine like terms: 290 + -290 = 0
0 + -15y = 5 + -290
-15y = 5 + -290

Combine like terms: 5 + -290 = -285
-15y = -285

Divide each side by '-15'.
y = 19

Simplifying
y = 19

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