6y+3-4y+1=7y-10

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Solution for 6y+3-4y+1=7y-10 equation:


Simplifying
6y + 3 + -4y + 1 = 7y + -10

Reorder the terms:
3 + 1 + 6y + -4y = 7y + -10

Combine like terms: 3 + 1 = 4
4 + 6y + -4y = 7y + -10

Combine like terms: 6y + -4y = 2y
4 + 2y = 7y + -10

Reorder the terms:
4 + 2y = -10 + 7y

Solving
4 + 2y = -10 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
4 + 2y + -7y = -10 + 7y + -7y

Combine like terms: 2y + -7y = -5y
4 + -5y = -10 + 7y + -7y

Combine like terms: 7y + -7y = 0
4 + -5y = -10 + 0
4 + -5y = -10

Add '-4' to each side of the equation.
4 + -4 + -5y = -10 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = -10 + -4
-5y = -10 + -4

Combine like terms: -10 + -4 = -14
-5y = -14

Divide each side by '-5'.
y = 2.8

Simplifying
y = 2.8

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