0.26(2.1y+5)=0.2(2y+5.1)

Solution for 0.26(2.1y+5)=0.2(2y+5.1) equation:

Simplifying
0.26(2.1y + 5) = 0.2(2y + 5.1)

Reorder the terms:
0.26(5 + 2.1y) = 0.2(2y + 5.1)
(5 * 0.26 + 2.1y * 0.26) = 0.2(2y + 5.1)
(1.3 + 0.546y) = 0.2(2y + 5.1)

Reorder the terms:
1.3 + 0.546y = 0.2(5.1 + 2y)
1.3 + 0.546y = (5.1 * 0.2 + 2y * 0.2)
1.3 + 0.546y = (1.02 + 0.4y)

Solving
1.3 + 0.546y = 1.02 + 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.
1.3 + 0.546y + -0.4y = 1.02 + 0.4y + -0.4y

Combine like terms: 0.546y + -0.4y = 0.146y
1.3 + 0.146y = 1.02 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
1.3 + 0.146y = 1.02 + 0.0
1.3 + 0.146y = 1.02

Add '-1.3' to each side of the equation.
1.3 + -1.3 + 0.146y = 1.02 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + 0.146y = 1.02 + -1.3
0.146y = 1.02 + -1.3

Combine like terms: 1.02 + -1.3 = -0.28
0.146y = -0.28

Divide each side by '0.146'.
y = -1.917808219

Simplifying
y = -1.917808219