y-6.9y+1.4=-5.4(y+1.5)

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Solution for y-6.9y+1.4=-5.4(y+1.5) equation: 


Simplifying
y + -6.9y + 1.4 = -5.4(y + 1.5)

Reorder the terms:
1.4 + y + -6.9y = -5.4(y + 1.5)

Combine like terms: y + -6.9y = -5.9y
1.4 + -5.9y = -5.4(y + 1.5)

Reorder the terms:
1.4 + -5.9y = -5.4(1.5 + y)
1.4 + -5.9y = (1.5 * -5.4 + y * -5.4)
1.4 + -5.9y = (-8.1 + -5.4y)

Solving
1.4 + -5.9y = -8.1 + -5.4y

Solving for variable 'y'.

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

Add '5.4y' to each side of the equation.
1.4 + -5.9y + 5.4y = -8.1 + -5.4y + 5.4y

Combine like terms: -5.9y + 5.4y = -0.5y
1.4 + -0.5y = -8.1 + -5.4y + 5.4y

Combine like terms: -5.4y + 5.4y = 0.0
1.4 + -0.5y = -8.1 + 0.0
1.4 + -0.5y = -8.1

Add '-1.4' to each side of the equation.
1.4 + -1.4 + -0.5y = -8.1 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -0.5y = -8.1 + -1.4
-0.5y = -8.1 + -1.4

Combine like terms: -8.1 + -1.4 = -9.5
-0.5y = -9.5

Divide each side by '-0.5'.
y = 19

Simplifying
y = 19

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