6y+3=45y-30

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Solution for 6y+3=45y-30 equation:


Simplifying
6y + 3 = 45y + -30

Reorder the terms:
3 + 6y = 45y + -30

Reorder the terms:
3 + 6y = -30 + 45y

Solving
3 + 6y = -30 + 45y

Solving for variable 'y'.

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

Add '-45y' to each side of the equation.
3 + 6y + -45y = -30 + 45y + -45y

Combine like terms: 6y + -45y = -39y
3 + -39y = -30 + 45y + -45y

Combine like terms: 45y + -45y = 0
3 + -39y = -30 + 0
3 + -39y = -30

Add '-3' to each side of the equation.
3 + -3 + -39y = -30 + -3

Combine like terms: 3 + -3 = 0
0 + -39y = -30 + -3
-39y = -30 + -3

Combine like terms: -30 + -3 = -33
-39y = -33

Divide each side by '-39'.
y = 0.8461538462

Simplifying
y = 0.8461538462

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