3.2y-5=3+2(1.4y+4)2

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Solution for 3.2y-5=3+2(1.4y+4)2 equation:


Simplifying
3.2y + -5 = 3 + 2(1.4y + 4) * 2

Reorder the terms:
-5 + 3.2y = 3 + 2(1.4y + 4) * 2

Reorder the terms:
-5 + 3.2y = 3 + 2(4 + 1.4y) * 2

Reorder the terms for easier multiplication:
-5 + 3.2y = 3 + 2 * 2(4 + 1.4y)

Multiply 2 * 2
-5 + 3.2y = 3 + 4(4 + 1.4y)
-5 + 3.2y = 3 + (4 * 4 + 1.4y * 4)
-5 + 3.2y = 3 + (16 + 5.6y)

Combine like terms: 3 + 16 = 19
-5 + 3.2y = 19 + 5.6y

Solving
-5 + 3.2y = 19 + 5.6y

Solving for variable 'y'.

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

Add '-5.6y' to each side of the equation.
-5 + 3.2y + -5.6y = 19 + 5.6y + -5.6y

Combine like terms: 3.2y + -5.6y = -2.4y
-5 + -2.4y = 19 + 5.6y + -5.6y

Combine like terms: 5.6y + -5.6y = 0.0
-5 + -2.4y = 19 + 0.0
-5 + -2.4y = 19

Add '5' to each side of the equation.
-5 + 5 + -2.4y = 19 + 5

Combine like terms: -5 + 5 = 0
0 + -2.4y = 19 + 5
-2.4y = 19 + 5

Combine like terms: 19 + 5 = 24
-2.4y = 24

Divide each side by '-2.4'.
y = -10

Simplifying
y = -10

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