4(y+3)-5(y+4)=30

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Solution for 4(y+3)-5(y+4)=30 equation: 


Simplifying
4(y + 3) + -5(y + 4) = 30

Reorder the terms:
4(3 + y) + -5(y + 4) = 30
(3 * 4 + y * 4) + -5(y + 4) = 30
(12 + 4y) + -5(y + 4) = 30

Reorder the terms:
12 + 4y + -5(4 + y) = 30
12 + 4y + (4 * -5 + y * -5) = 30
12 + 4y + (-20 + -5y) = 30

Reorder the terms:
12 + -20 + 4y + -5y = 30

Combine like terms: 12 + -20 = -8
-8 + 4y + -5y = 30

Combine like terms: 4y + -5y = -1y
-8 + -1y = 30

Solving
-8 + -1y = 30

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + -1y = 30 + 8

Combine like terms: -8 + 8 = 0
0 + -1y = 30 + 8
-1y = 30 + 8

Combine like terms: 30 + 8 = 38
-1y = 38

Divide each side by '-1'.
y = -38

Simplifying
y = -38

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