10(y-1)=2(4y+3)

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Solution for 10(y-1)=2(4y+3) equation:


Simplifying
10(y + -1) = 2(4y + 3)

Reorder the terms:
10(-1 + y) = 2(4y + 3)
(-1 * 10 + y * 10) = 2(4y + 3)
(-10 + 10y) = 2(4y + 3)

Reorder the terms:
-10 + 10y = 2(3 + 4y)
-10 + 10y = (3 * 2 + 4y * 2)
-10 + 10y = (6 + 8y)

Solving
-10 + 10y = 6 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-10 + 10y + -8y = 6 + 8y + -8y

Combine like terms: 10y + -8y = 2y
-10 + 2y = 6 + 8y + -8y

Combine like terms: 8y + -8y = 0
-10 + 2y = 6 + 0
-10 + 2y = 6

Add '10' to each side of the equation.
-10 + 10 + 2y = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 2y = 6 + 10
2y = 6 + 10

Combine like terms: 6 + 10 = 16
2y = 16

Divide each side by '2'.
y = 8

Simplifying
y = 8

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