5(y-3)+2(y+4)=35

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Solution for 5(y-3)+2(y+4)=35 equation: 


Simplifying
5(y + -3) + 2(y + 4) = 35

Reorder the terms:
5(-3 + y) + 2(y + 4) = 35
(-3 * 5 + y * 5) + 2(y + 4) = 35
(-15 + 5y) + 2(y + 4) = 35

Reorder the terms:
-15 + 5y + 2(4 + y) = 35
-15 + 5y + (4 * 2 + y * 2) = 35
-15 + 5y + (8 + 2y) = 35

Reorder the terms:
-15 + 8 + 5y + 2y = 35

Combine like terms: -15 + 8 = -7
-7 + 5y + 2y = 35

Combine like terms: 5y + 2y = 7y
-7 + 7y = 35

Solving
-7 + 7y = 35

Solving for variable 'y'.

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

Add '7' to each side of the equation.
-7 + 7 + 7y = 35 + 7

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

Combine like terms: 35 + 7 = 42
7y = 42

Divide each side by '7'.
y = 6

Simplifying
y = 6

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