-3(y+2.5)=6.9-4.2y

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Solution for -3(y+2.5)=6.9-4.2y equation: 


Simplifying
-3(y + 2.5) = 6.9 + -4.2y

Reorder the terms:
-3(2.5 + y) = 6.9 + -4.2y
(2.5 * -3 + y * -3) = 6.9 + -4.2y
(-7.5 + -3y) = 6.9 + -4.2y

Solving
-7.5 + -3y = 6.9 + -4.2y

Solving for variable 'y'.

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

Add '4.2y' to each side of the equation.
-7.5 + -3y + 4.2y = 6.9 + -4.2y + 4.2y

Combine like terms: -3y + 4.2y = 1.2y
-7.5 + 1.2y = 6.9 + -4.2y + 4.2y

Combine like terms: -4.2y + 4.2y = 0.0
-7.5 + 1.2y = 6.9 + 0.0
-7.5 + 1.2y = 6.9

Add '7.5' to each side of the equation.
-7.5 + 7.5 + 1.2y = 6.9 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 1.2y = 6.9 + 7.5
1.2y = 6.9 + 7.5

Combine like terms: 6.9 + 7.5 = 14.4
1.2y = 14.4

Divide each side by '1.2'.
y = 12

Simplifying
y = 12

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