4y+7=10y-37

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Solution for 4y+7=10y-37 equation:


Simplifying
4y + 7 = 10y + -37

Reorder the terms:
7 + 4y = 10y + -37

Reorder the terms:
7 + 4y = -37 + 10y

Solving
7 + 4y = -37 + 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.
7 + 4y + -10y = -37 + 10y + -10y

Combine like terms: 4y + -10y = -6y
7 + -6y = -37 + 10y + -10y

Combine like terms: 10y + -10y = 0
7 + -6y = -37 + 0
7 + -6y = -37

Add '-7' to each side of the equation.
7 + -7 + -6y = -37 + -7

Combine like terms: 7 + -7 = 0
0 + -6y = -37 + -7
-6y = -37 + -7

Combine like terms: -37 + -7 = -44
-6y = -44

Divide each side by '-6'.
y = 7.333333333

Simplifying
y = 7.333333333

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