-2.1(y-1.5)=0.4(y+16)

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Solution for -2.1(y-1.5)=0.4(y+16) equation: 


Simplifying
-2.1(y + -1.5) = 0.4(y + 16)

Reorder the terms:
-2.1(-1.5 + y) = 0.4(y + 16)
(-1.5 * -2.1 + y * -2.1) = 0.4(y + 16)
(3.15 + -2.1y) = 0.4(y + 16)

Reorder the terms:
3.15 + -2.1y = 0.4(16 + y)
3.15 + -2.1y = (16 * 0.4 + y * 0.4)
3.15 + -2.1y = (6.4 + 0.4y)

Solving
3.15 + -2.1y = 6.4 + 0.4y

Solving for variable 'y'.

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

Add '-0.4y' to each side of the equation.
3.15 + -2.1y + -0.4y = 6.4 + 0.4y + -0.4y

Combine like terms: -2.1y + -0.4y = -2.5y
3.15 + -2.5y = 6.4 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
3.15 + -2.5y = 6.4 + 0.0
3.15 + -2.5y = 6.4

Add '-3.15' to each side of the equation.
3.15 + -3.15 + -2.5y = 6.4 + -3.15

Combine like terms: 3.15 + -3.15 = 0.00
0.00 + -2.5y = 6.4 + -3.15
-2.5y = 6.4 + -3.15

Combine like terms: 6.4 + -3.15 = 3.25
-2.5y = 3.25

Divide each side by '-2.5'.
y = -1.3

Simplifying
y = -1.3

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