7y+4(4-6)=4(y+1)-3

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Solution for 7y+4(4-6)=4(y+1)-3 equation:


Simplifying
7y + 4(4 + -6) = 4(y + 1) + -3

Combine like terms: 4 + -6 = -2
7y + 4(-2) = 4(y + 1) + -3

Multiply 4 * -2
7y + -8 = 4(y + 1) + -3

Reorder the terms:
-8 + 7y = 4(y + 1) + -3

Reorder the terms:
-8 + 7y = 4(1 + y) + -3
-8 + 7y = (1 * 4 + y * 4) + -3
-8 + 7y = (4 + 4y) + -3

Reorder the terms:
-8 + 7y = 4 + -3 + 4y

Combine like terms: 4 + -3 = 1
-8 + 7y = 1 + 4y

Solving
-8 + 7y = 1 + 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.
-8 + 7y + -4y = 1 + 4y + -4y

Combine like terms: 7y + -4y = 3y
-8 + 3y = 1 + 4y + -4y

Combine like terms: 4y + -4y = 0
-8 + 3y = 1 + 0
-8 + 3y = 1

Add '8' to each side of the equation.
-8 + 8 + 3y = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 3y = 1 + 8
3y = 1 + 8

Combine like terms: 1 + 8 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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