2.1(y-5)=3(y-5)

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Solution for 2.1(y-5)=3(y-5) equation: 


Simplifying
2.1(y + -5) = 3(y + -5)

Reorder the terms:
2.1(-5 + y) = 3(y + -5)
(-5 * 2.1 + y * 2.1) = 3(y + -5)
(-10.5 + 2.1y) = 3(y + -5)

Reorder the terms:
-10.5 + 2.1y = 3(-5 + y)
-10.5 + 2.1y = (-5 * 3 + y * 3)
-10.5 + 2.1y = (-15 + 3y)

Solving
-10.5 + 2.1y = -15 + 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.
-10.5 + 2.1y + -3y = -15 + 3y + -3y

Combine like terms: 2.1y + -3y = -0.9y
-10.5 + -0.9y = -15 + 3y + -3y

Combine like terms: 3y + -3y = 0
-10.5 + -0.9y = -15 + 0
-10.5 + -0.9y = -15

Add '10.5' to each side of the equation.
-10.5 + 10.5 + -0.9y = -15 + 10.5

Combine like terms: -10.5 + 10.5 = 0.0
0.0 + -0.9y = -15 + 10.5
-0.9y = -15 + 10.5

Combine like terms: -15 + 10.5 = -4.5
-0.9y = -4.5

Divide each side by '-0.9'.
y = 5

Simplifying
y = 5

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