10y+16=4(3y+8)

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Solution for 10y+16=4(3y+8) equation:


Simplifying
10y + 16 = 4(3y + 8)

Reorder the terms:
16 + 10y = 4(3y + 8)

Reorder the terms:
16 + 10y = 4(8 + 3y)
16 + 10y = (8 * 4 + 3y * 4)
16 + 10y = (32 + 12y)

Solving
16 + 10y = 32 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
16 + 10y + -12y = 32 + 12y + -12y

Combine like terms: 10y + -12y = -2y
16 + -2y = 32 + 12y + -12y

Combine like terms: 12y + -12y = 0
16 + -2y = 32 + 0
16 + -2y = 32

Add '-16' to each side of the equation.
16 + -16 + -2y = 32 + -16

Combine like terms: 16 + -16 = 0
0 + -2y = 32 + -16
-2y = 32 + -16

Combine like terms: 32 + -16 = 16
-2y = 16

Divide each side by '-2'.
y = -8

Simplifying
y = -8

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