y=4(y+5)-10

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


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

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

Reorder the terms:
y = 20 + -10 + 4y

Combine like terms: 20 + -10 = 10
y = 10 + 4y

Solving
y = 10 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
y + -4y = 10 + 4y + -4y

Combine like terms: y + -4y = -3y
-3y = 10 + 4y + -4y

Combine like terms: 4y + -4y = 0
-3y = 10 + 0
-3y = 10

Divide each side by '-3'.
y = -3.333333333

Simplifying
y = -3.333333333

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