4y+16=1.3333333(10y-4)

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Solution for 4y+16=1.3333333(10y-4) equation:


Simplifying
4y + 16 = 1.3333333(10y + -4)

Reorder the terms:
16 + 4y = 1.3333333(10y + -4)

Reorder the terms:
16 + 4y = 1.3333333(-4 + 10y)
16 + 4y = (-4 * 1.3333333 + 10y * 1.3333333)
16 + 4y = (-5.3333332 + 13.333333y)

Solving
16 + 4y = -5.3333332 + 13.333333y

Solving for variable 'y'.

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

Add '-13.333333y' to each side of the equation.
16 + 4y + -13.333333y = -5.3333332 + 13.333333y + -13.333333y

Combine like terms: 4y + -13.333333y = -9.333333y
16 + -9.333333y = -5.3333332 + 13.333333y + -13.333333y

Combine like terms: 13.333333y + -13.333333y = 0.000000
16 + -9.333333y = -5.3333332 + 0.000000
16 + -9.333333y = -5.3333332

Add '-16' to each side of the equation.
16 + -16 + -9.333333y = -5.3333332 + -16

Combine like terms: 16 + -16 = 0
0 + -9.333333y = -5.3333332 + -16
-9.333333y = -5.3333332 + -16

Combine like terms: -5.3333332 + -16 = -21.3333332
-9.333333y = -21.3333332

Divide each side by '-9.333333'.
y = 2.285714353

Simplifying
y = 2.285714353

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