y+2.6=0.4(y+5)

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Solution for y+2.6=0.4(y+5) equation: 


Simplifying
y + 2.6 = 0.4(y + 5)

Reorder the terms:
2.6 + y = 0.4(y + 5)

Reorder the terms:
2.6 + y = 0.4(5 + y)
2.6 + y = (5 * 0.4 + y * 0.4)
2.6 + y = (2 + 0.4y)

Solving
2.6 + y = 2 + 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.
2.6 + y + -0.4y = 2 + 0.4y + -0.4y

Combine like terms: y + -0.4y = 0.6y
2.6 + 0.6y = 2 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
2.6 + 0.6y = 2 + 0.0
2.6 + 0.6y = 2

Add '-2.6' to each side of the equation.
2.6 + -2.6 + 0.6y = 2 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + 0.6y = 2 + -2.6
0.6y = 2 + -2.6

Combine like terms: 2 + -2.6 = -0.6
0.6y = -0.6

Divide each side by '0.6'.
y = -1

Simplifying
y = -1

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