6y+30=10y-200

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Solution for 6y+30=10y-200 equation:


Simplifying
6y + 30 = 10y + -200

Reorder the terms:
30 + 6y = 10y + -200

Reorder the terms:
30 + 6y = -200 + 10y

Solving
30 + 6y = -200 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
30 + 6y + -10y = -200 + 10y + -10y

Combine like terms: 6y + -10y = -4y
30 + -4y = -200 + 10y + -10y

Combine like terms: 10y + -10y = 0
30 + -4y = -200 + 0
30 + -4y = -200

Add '-30' to each side of the equation.
30 + -30 + -4y = -200 + -30

Combine like terms: 30 + -30 = 0
0 + -4y = -200 + -30
-4y = -200 + -30

Combine like terms: -200 + -30 = -230
-4y = -230

Divide each side by '-4'.
y = 57.5

Simplifying
y = 57.5

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