11(y-2)+3=-7y+14

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Solution for 11(y-2)+3=-7y+14 equation:


Simplifying
11(y + -2) + 3 = -7y + 14

Reorder the terms:
11(-2 + y) + 3 = -7y + 14
(-2 * 11 + y * 11) + 3 = -7y + 14
(-22 + 11y) + 3 = -7y + 14

Reorder the terms:
-22 + 3 + 11y = -7y + 14

Combine like terms: -22 + 3 = -19
-19 + 11y = -7y + 14

Reorder the terms:
-19 + 11y = 14 + -7y

Solving
-19 + 11y = 14 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-19 + 11y + 7y = 14 + -7y + 7y

Combine like terms: 11y + 7y = 18y
-19 + 18y = 14 + -7y + 7y

Combine like terms: -7y + 7y = 0
-19 + 18y = 14 + 0
-19 + 18y = 14

Add '19' to each side of the equation.
-19 + 19 + 18y = 14 + 19

Combine like terms: -19 + 19 = 0
0 + 18y = 14 + 19
18y = 14 + 19

Combine like terms: 14 + 19 = 33
18y = 33

Divide each side by '18'.
y = 1.833333333

Simplifying
y = 1.833333333

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