4y=3(y-5)-2

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Solution for 4y=3(y-5)-2 equation:


Simplifying
4y = 3(y + -5) + -2

Reorder the terms:
4y = 3(-5 + y) + -2
4y = (-5 * 3 + y * 3) + -2
4y = (-15 + 3y) + -2

Reorder the terms:
4y = -15 + -2 + 3y

Combine like terms: -15 + -2 = -17
4y = -17 + 3y

Solving
4y = -17 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
4y + -3y = -17 + 3y + -3y

Combine like terms: 4y + -3y = 1y
1y = -17 + 3y + -3y

Combine like terms: 3y + -3y = 0
1y = -17 + 0
1y = -17

Divide each side by '1'.
y = -17

Simplifying
y = -17

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