4(y-3)-2(y+1)=-4.2

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Solution for 4(y-3)-2(y+1)=-4.2 equation: 


Simplifying
4(y + -3) + -2(y + 1) = -4.2

Reorder the terms:
4(-3 + y) + -2(y + 1) = -4.2
(-3 * 4 + y * 4) + -2(y + 1) = -4.2
(-12 + 4y) + -2(y + 1) = -4.2

Reorder the terms:
-12 + 4y + -2(1 + y) = -4.2
-12 + 4y + (1 * -2 + y * -2) = -4.2
-12 + 4y + (-2 + -2y) = -4.2

Reorder the terms:
-12 + -2 + 4y + -2y = -4.2

Combine like terms: -12 + -2 = -14
-14 + 4y + -2y = -4.2

Combine like terms: 4y + -2y = 2y
-14 + 2y = -4.2

Solving
-14 + 2y = -4.2

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + 2y = -4.2 + 14

Combine like terms: -14 + 14 = 0
0 + 2y = -4.2 + 14
2y = -4.2 + 14

Combine like terms: -4.2 + 14 = 9.8
2y = 9.8

Divide each side by '2'.
y = 4.9

Simplifying
y = 4.9

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