0.7(y+18)+0.3(2y+3)=y+3

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Solution for 0.7(y+18)+0.3(2y+3)=y+3 equation:


Simplifying
0.7(y + 18) + 0.3(2y + 3) = y + 3

Reorder the terms:
0.7(18 + y) + 0.3(2y + 3) = y + 3
(18 * 0.7 + y * 0.7) + 0.3(2y + 3) = y + 3
(12.6 + 0.7y) + 0.3(2y + 3) = y + 3

Reorder the terms:
12.6 + 0.7y + 0.3(3 + 2y) = y + 3
12.6 + 0.7y + (3 * 0.3 + 2y * 0.3) = y + 3
12.6 + 0.7y + (0.9 + 0.6y) = y + 3

Reorder the terms:
12.6 + 0.9 + 0.7y + 0.6y = y + 3

Combine like terms: 12.6 + 0.9 = 13.5
13.5 + 0.7y + 0.6y = y + 3

Combine like terms: 0.7y + 0.6y = 1.3y
13.5 + 1.3y = y + 3

Reorder the terms:
13.5 + 1.3y = 3 + y

Solving
13.5 + 1.3y = 3 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
13.5 + 1.3y + -1y = 3 + y + -1y

Combine like terms: 1.3y + -1y = 0.3y
13.5 + 0.3y = 3 + y + -1y

Combine like terms: y + -1y = 0
13.5 + 0.3y = 3 + 0
13.5 + 0.3y = 3

Add '-13.5' to each side of the equation.
13.5 + -13.5 + 0.3y = 3 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + 0.3y = 3 + -13.5
0.3y = 3 + -13.5

Combine like terms: 3 + -13.5 = -10.5
0.3y = -10.5

Divide each side by '0.3'.
y = -35

Simplifying
y = -35

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