0.61-0.4(2.1y+3)=0.2(2y+5.2)

Solution for 0.61-0.4(2.1y+3)=0.2(2y+5.2) equation:

Simplifying
0.61 + -0.4(2.1y + 3) = 0.2(2y + 5.2)

Reorder the terms:
0.61 + -0.4(3 + 2.1y) = 0.2(2y + 5.2)
0.61 + (3 * -0.4 + 2.1y * -0.4) = 0.2(2y + 5.2)
0.61 + (-1.2 + -0.84y) = 0.2(2y + 5.2)

Combine like terms: 0.61 + -1.2 = -0.59
-0.59 + -0.84y = 0.2(2y + 5.2)

Reorder the terms:
-0.59 + -0.84y = 0.2(5.2 + 2y)
-0.59 + -0.84y = (5.2 * 0.2 + 2y * 0.2)
-0.59 + -0.84y = (1.04 + 0.4y)

Solving
-0.59 + -0.84y = 1.04 + 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.
-0.59 + -0.84y + -0.4y = 1.04 + 0.4y + -0.4y

Combine like terms: -0.84y + -0.4y = -1.24y
-0.59 + -1.24y = 1.04 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
-0.59 + -1.24y = 1.04 + 0.0
-0.59 + -1.24y = 1.04

Add '0.59' to each side of the equation.
-0.59 + 0.59 + -1.24y = 1.04 + 0.59

Combine like terms: -0.59 + 0.59 = 0.00
0.00 + -1.24y = 1.04 + 0.59
-1.24y = 1.04 + 0.59

Combine like terms: 1.04 + 0.59 = 1.63
-1.24y = 1.63

Divide each side by '-1.24'.
y = -1.314516129

Simplifying
y = -1.314516129