3(y-5)=7y+1

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Solution for 3(y-5)=7y+1 equation: 


Simplifying
3(y + -5) = 7y + 1

Reorder the terms:
3(-5 + y) = 7y + 1
(-5 * 3 + y * 3) = 7y + 1
(-15 + 3y) = 7y + 1

Reorder the terms:
-15 + 3y = 1 + 7y

Solving
-15 + 3y = 1 + 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.
-15 + 3y + -7y = 1 + 7y + -7y

Combine like terms: 3y + -7y = -4y
-15 + -4y = 1 + 7y + -7y

Combine like terms: 7y + -7y = 0
-15 + -4y = 1 + 0
-15 + -4y = 1

Add '15' to each side of the equation.
-15 + 15 + -4y = 1 + 15

Combine like terms: -15 + 15 = 0
0 + -4y = 1 + 15
-4y = 1 + 15

Combine like terms: 1 + 15 = 16
-4y = 16

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

Simplifying
y = -4

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