0.7(y+1)+2.1(2y-1)=5y

Solution for 0.7(y+1)+2.1(2y-1)=5y equation:

Simplifying
0.7(y + 1) + 2.1(2y + -1) = 5y

Reorder the terms:
0.7(1 + y) + 2.1(2y + -1) = 5y
(1 * 0.7 + y * 0.7) + 2.1(2y + -1) = 5y
(0.7 + 0.7y) + 2.1(2y + -1) = 5y

Reorder the terms:
0.7 + 0.7y + 2.1(-1 + 2y) = 5y
0.7 + 0.7y + (-1 * 2.1 + 2y * 2.1) = 5y
0.7 + 0.7y + (-2.1 + 4.2y) = 5y

Reorder the terms:
0.7 + -2.1 + 0.7y + 4.2y = 5y

Combine like terms: 0.7 + -2.1 = -1.4
-1.4 + 0.7y + 4.2y = 5y

Combine like terms: 0.7y + 4.2y = 4.9y
-1.4 + 4.9y = 5y

Solving
-1.4 + 4.9y = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-1.4 + 4.9y + -5y = 5y + -5y

Combine like terms: 4.9y + -5y = -0.1y
-1.4 + -0.1y = 5y + -5y

Combine like terms: 5y + -5y = 0
-1.4 + -0.1y = 0

Add '1.4' to each side of the equation.
-1.4 + 1.4 + -0.1y = 0 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + -0.1y = 0 + 1.4
-0.1y = 0 + 1.4

Combine like terms: 0 + 1.4 = 1.4
-0.1y = 1.4

Divide each side by '-0.1'.
y = -14

Simplifying
y = -14