.2(y+3)+3=.1(7y-4)-5

Solution for .2(y+3)+3=.1(7y-4)-5 equation:

Simplifying
0.2(y + 3) + 3 = 0.1(7y + -4) + -5

Reorder the terms:
0.2(3 + y) + 3 = 0.1(7y + -4) + -5
(3 * 0.2 + y * 0.2) + 3 = 0.1(7y + -4) + -5
(0.6 + 0.2y) + 3 = 0.1(7y + -4) + -5

Reorder the terms:
0.6 + 3 + 0.2y = 0.1(7y + -4) + -5

Combine like terms: 0.6 + 3 = 3.6
3.6 + 0.2y = 0.1(7y + -4) + -5

Reorder the terms:
3.6 + 0.2y = 0.1(-4 + 7y) + -5
3.6 + 0.2y = (-4 * 0.1 + 7y * 0.1) + -5
3.6 + 0.2y = (-0.4 + 0.7y) + -5

Reorder the terms:
3.6 + 0.2y = -0.4 + -5 + 0.7y

Combine like terms: -0.4 + -5 = -5.4
3.6 + 0.2y = -5.4 + 0.7y

Solving
3.6 + 0.2y = -5.4 + 0.7y

Solving for variable 'y'.

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

Add '-0.7y' to each side of the equation.
3.6 + 0.2y + -0.7y = -5.4 + 0.7y + -0.7y

Combine like terms: 0.2y + -0.7y = -0.5y
3.6 + -0.5y = -5.4 + 0.7y + -0.7y

Combine like terms: 0.7y + -0.7y = 0.0
3.6 + -0.5y = -5.4 + 0.0
3.6 + -0.5y = -5.4

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -0.5y = -5.4 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -0.5y = -5.4 + -3.6
-0.5y = -5.4 + -3.6

Combine like terms: -5.4 + -3.6 = -9
-0.5y = -9

Divide each side by '-0.5'.
y = 18

Simplifying
y = 18