3y+45=10y+17

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Solution for 3y+45=10y+17 equation:


Simplifying
3y + 45 = 10y + 17

Reorder the terms:
45 + 3y = 10y + 17

Reorder the terms:
45 + 3y = 17 + 10y

Solving
45 + 3y = 17 + 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.
45 + 3y + -10y = 17 + 10y + -10y

Combine like terms: 3y + -10y = -7y
45 + -7y = 17 + 10y + -10y

Combine like terms: 10y + -10y = 0
45 + -7y = 17 + 0
45 + -7y = 17

Add '-45' to each side of the equation.
45 + -45 + -7y = 17 + -45

Combine like terms: 45 + -45 = 0
0 + -7y = 17 + -45
-7y = 17 + -45

Combine like terms: 17 + -45 = -28
-7y = -28

Divide each side by '-7'.
y = 4

Simplifying
y = 4

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