2y+4(y+3)=8y+6(3y+5)

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Solution for 2y+4(y+3)=8y+6(3y+5) equation:


Simplifying
2y + 4(y + 3) = 8y + 6(3y + 5)

Reorder the terms:
2y + 4(3 + y) = 8y + 6(3y + 5)
2y + (3 * 4 + y * 4) = 8y + 6(3y + 5)
2y + (12 + 4y) = 8y + 6(3y + 5)

Reorder the terms:
12 + 2y + 4y = 8y + 6(3y + 5)

Combine like terms: 2y + 4y = 6y
12 + 6y = 8y + 6(3y + 5)

Reorder the terms:
12 + 6y = 8y + 6(5 + 3y)
12 + 6y = 8y + (5 * 6 + 3y * 6)
12 + 6y = 8y + (30 + 18y)

Reorder the terms:
12 + 6y = 30 + 8y + 18y

Combine like terms: 8y + 18y = 26y
12 + 6y = 30 + 26y

Solving
12 + 6y = 30 + 26y

Solving for variable 'y'.

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

Add '-26y' to each side of the equation.
12 + 6y + -26y = 30 + 26y + -26y

Combine like terms: 6y + -26y = -20y
12 + -20y = 30 + 26y + -26y

Combine like terms: 26y + -26y = 0
12 + -20y = 30 + 0
12 + -20y = 30

Add '-12' to each side of the equation.
12 + -12 + -20y = 30 + -12

Combine like terms: 12 + -12 = 0
0 + -20y = 30 + -12
-20y = 30 + -12

Combine like terms: 30 + -12 = 18
-20y = 18

Divide each side by '-20'.
y = -0.9

Simplifying
y = -0.9

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