-3(y-5)=-7y+35

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Solution for -3(y-5)=-7y+35 equation:


Simplifying
-3(y + -5) = -7y + 35

Reorder the terms:
-3(-5 + y) = -7y + 35
(-5 * -3 + y * -3) = -7y + 35
(15 + -3y) = -7y + 35

Reorder the terms:
15 + -3y = 35 + -7y

Solving
15 + -3y = 35 + -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 = 35 + -7y + 7y

Combine like terms: -3y + 7y = 4y
15 + 4y = 35 + -7y + 7y

Combine like terms: -7y + 7y = 0
15 + 4y = 35 + 0
15 + 4y = 35

Add '-15' to each side of the equation.
15 + -15 + 4y = 35 + -15

Combine like terms: 15 + -15 = 0
0 + 4y = 35 + -15
4y = 35 + -15

Combine like terms: 35 + -15 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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