4(y-4)+3(y+3)=7

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Solution for 4(y-4)+3(y+3)=7 equation: 


Simplifying
4(y + -4) + 3(y + 3) = 7

Reorder the terms:
4(-4 + y) + 3(y + 3) = 7
(-4 * 4 + y * 4) + 3(y + 3) = 7
(-16 + 4y) + 3(y + 3) = 7

Reorder the terms:
-16 + 4y + 3(3 + y) = 7
-16 + 4y + (3 * 3 + y * 3) = 7
-16 + 4y + (9 + 3y) = 7

Reorder the terms:
-16 + 9 + 4y + 3y = 7

Combine like terms: -16 + 9 = -7
-7 + 4y + 3y = 7

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

Solving
-7 + 7y = 7

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 = 7 + 7

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

Combine like terms: 7 + 7 = 14
7y = 14

Divide each side by '7'.
y = 2

Simplifying
y = 2

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