2.1(y+12)=0.1(y-19)

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Solution for 2.1(y+12)=0.1(y-19) equation: 


Simplifying
2.1(y + 12) = 0.1(y + -19)

Reorder the terms:
2.1(12 + y) = 0.1(y + -19)
(12 * 2.1 + y * 2.1) = 0.1(y + -19)
(25.2 + 2.1y) = 0.1(y + -19)

Reorder the terms:
25.2 + 2.1y = 0.1(-19 + y)
25.2 + 2.1y = (-19 * 0.1 + y * 0.1)
25.2 + 2.1y = (-1.9 + 0.1y)

Solving
25.2 + 2.1y = -1.9 + 0.1y

Solving for variable 'y'.

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

Add '-0.1y' to each side of the equation.
25.2 + 2.1y + -0.1y = -1.9 + 0.1y + -0.1y

Combine like terms: 2.1y + -0.1y = 2y
25.2 + 2y = -1.9 + 0.1y + -0.1y

Combine like terms: 0.1y + -0.1y = 0.0
25.2 + 2y = -1.9 + 0.0
25.2 + 2y = -1.9

Add '-25.2' to each side of the equation.
25.2 + -25.2 + 2y = -1.9 + -25.2

Combine like terms: 25.2 + -25.2 = 0.0
0.0 + 2y = -1.9 + -25.2
2y = -1.9 + -25.2

Combine like terms: -1.9 + -25.2 = -27.1
2y = -27.1

Divide each side by '2'.
y = -13.55

Simplifying
y = -13.55

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