5(y+6)-4y=5(y+3)+35

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Solution for 5(y+6)-4y=5(y+3)+35 equation:


Simplifying
5(y + 6) + -4y = 5(y + 3) + 35

Reorder the terms:
5(6 + y) + -4y = 5(y + 3) + 35
(6 * 5 + y * 5) + -4y = 5(y + 3) + 35
(30 + 5y) + -4y = 5(y + 3) + 35

Combine like terms: 5y + -4y = 1y
30 + 1y = 5(y + 3) + 35

Reorder the terms:
30 + 1y = 5(3 + y) + 35
30 + 1y = (3 * 5 + y * 5) + 35
30 + 1y = (15 + 5y) + 35

Reorder the terms:
30 + 1y = 15 + 35 + 5y

Combine like terms: 15 + 35 = 50
30 + 1y = 50 + 5y

Solving
30 + 1y = 50 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
30 + 1y + -5y = 50 + 5y + -5y

Combine like terms: 1y + -5y = -4y
30 + -4y = 50 + 5y + -5y

Combine like terms: 5y + -5y = 0
30 + -4y = 50 + 0
30 + -4y = 50

Add '-30' to each side of the equation.
30 + -30 + -4y = 50 + -30

Combine like terms: 30 + -30 = 0
0 + -4y = 50 + -30
-4y = 50 + -30

Combine like terms: 50 + -30 = 20
-4y = 20

Divide each side by '-4'.
y = -5

Simplifying
y = -5

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