3(y+-4)+7=4(y+6)

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Solution for 3(y+-4)+7=4(y+6) equation:


Simplifying
3(y + -4) + 7 = 4(y + 6)

Reorder the terms:
3(-4 + y) + 7 = 4(y + 6)
(-4 * 3 + y * 3) + 7 = 4(y + 6)
(-12 + 3y) + 7 = 4(y + 6)

Reorder the terms:
-12 + 7 + 3y = 4(y + 6)

Combine like terms: -12 + 7 = -5
-5 + 3y = 4(y + 6)

Reorder the terms:
-5 + 3y = 4(6 + y)
-5 + 3y = (6 * 4 + y * 4)
-5 + 3y = (24 + 4y)

Solving
-5 + 3y = 24 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-5 + 3y + -4y = 24 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-5 + -1y = 24 + 4y + -4y

Combine like terms: 4y + -4y = 0
-5 + -1y = 24 + 0
-5 + -1y = 24

Add '5' to each side of the equation.
-5 + 5 + -1y = 24 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = 24 + 5
-1y = 24 + 5

Combine like terms: 24 + 5 = 29
-1y = 29

Divide each side by '-1'.
y = -29

Simplifying
y = -29

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