46+2=8y-(6y-10)

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Solution for 46+2=8y-(6y-10) equation:


Simplifying
46 + 2 = 8y + -1(6y + -10)

Combine like terms: 46 + 2 = 48
48 = 8y + -1(6y + -10)

Reorder the terms:
48 = 8y + -1(-10 + 6y)
48 = 8y + (-10 * -1 + 6y * -1)
48 = 8y + (10 + -6y)

Reorder the terms:
48 = 10 + 8y + -6y

Combine like terms: 8y + -6y = 2y
48 = 10 + 2y

Solving
48 = 10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
48 + -2y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
48 + -2y = 10 + 0
48 + -2y = 10

Add '-48' to each side of the equation.
48 + -48 + -2y = 10 + -48

Combine like terms: 48 + -48 = 0
0 + -2y = 10 + -48
-2y = 10 + -48

Combine like terms: 10 + -48 = -38
-2y = -38

Divide each side by '-2'.
y = 19

Simplifying
y = 19

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