7(y-2)+4(y+1)=12

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Solution for 7(y-2)+4(y+1)=12 equation:


Simplifying
7(y + -2) + 4(y + 1) = 12

Reorder the terms:
7(-2 + y) + 4(y + 1) = 12
(-2 * 7 + y * 7) + 4(y + 1) = 12
(-14 + 7y) + 4(y + 1) = 12

Reorder the terms:
-14 + 7y + 4(1 + y) = 12
-14 + 7y + (1 * 4 + y * 4) = 12
-14 + 7y + (4 + 4y) = 12

Reorder the terms:
-14 + 4 + 7y + 4y = 12

Combine like terms: -14 + 4 = -10
-10 + 7y + 4y = 12

Combine like terms: 7y + 4y = 11y
-10 + 11y = 12

Solving
-10 + 11y = 12

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + 11y = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 11y = 12 + 10
11y = 12 + 10

Combine like terms: 12 + 10 = 22
11y = 22

Divide each side by '11'.
y = 2

Simplifying
y = 2

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