0.08(y+2)=0.05(3y+1)-0.17

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Solution for 0.08(y+2)=0.05(3y+1)-0.17 equation: 


Simplifying
0.08(y + 2) = 0.05(3y + 1) + -0.17

Reorder the terms:
0.08(2 + y) = 0.05(3y + 1) + -0.17
(2 * 0.08 + y * 0.08) = 0.05(3y + 1) + -0.17
(0.16 + 0.08y) = 0.05(3y + 1) + -0.17

Reorder the terms:
0.16 + 0.08y = 0.05(1 + 3y) + -0.17
0.16 + 0.08y = (1 * 0.05 + 3y * 0.05) + -0.17
0.16 + 0.08y = (0.05 + 0.15y) + -0.17

Reorder the terms:
0.16 + 0.08y = 0.05 + -0.17 + 0.15y

Combine like terms: 0.05 + -0.17 = -0.12
0.16 + 0.08y = -0.12 + 0.15y

Solving
0.16 + 0.08y = -0.12 + 0.15y

Solving for variable 'y'.

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

Add '-0.15y' to each side of the equation.
0.16 + 0.08y + -0.15y = -0.12 + 0.15y + -0.15y

Combine like terms: 0.08y + -0.15y = -0.07y
0.16 + -0.07y = -0.12 + 0.15y + -0.15y

Combine like terms: 0.15y + -0.15y = 0.00
0.16 + -0.07y = -0.12 + 0.00
0.16 + -0.07y = -0.12

Add '-0.16' to each side of the equation.
0.16 + -0.16 + -0.07y = -0.12 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + -0.07y = -0.12 + -0.16
-0.07y = -0.12 + -0.16

Combine like terms: -0.12 + -0.16 = -0.28
-0.07y = -0.28

Divide each side by '-0.07'.
y = 4

Simplifying
y = 4

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