y*3+150=y*13-10

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Solution for y*3+150=y*13-10 equation:


Simplifying
y * 3 + 150 = y * 13 + -10

Reorder the terms for easier multiplication:
3y + 150 = y * 13 + -10

Reorder the terms:
150 + 3y = y * 13 + -10

Reorder the terms for easier multiplication:
150 + 3y = 13y + -10

Reorder the terms:
150 + 3y = -10 + 13y

Solving
150 + 3y = -10 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
150 + 3y + -13y = -10 + 13y + -13y

Combine like terms: 3y + -13y = -10y
150 + -10y = -10 + 13y + -13y

Combine like terms: 13y + -13y = 0
150 + -10y = -10 + 0
150 + -10y = -10

Add '-150' to each side of the equation.
150 + -150 + -10y = -10 + -150

Combine like terms: 150 + -150 = 0
0 + -10y = -10 + -150
-10y = -10 + -150

Combine like terms: -10 + -150 = -160
-10y = -160

Divide each side by '-10'.
y = 16

Simplifying
y = 16

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