7(-4.2+-0.2y)-3y=-47

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Solution for 7(-4.2+-0.2y)-3y=-47 equation:


Simplifying
7(-4.2 + -0.2y) + -3y = -47
(-4.2 * 7 + -0.2y * 7) + -3y = -47
(-29.4 + -1.4y) + -3y = -47

Combine like terms: -1.4y + -3y = -4.4y
-29.4 + -4.4y = -47

Solving
-29.4 + -4.4y = -47

Solving for variable 'y'.

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

Add '29.4' to each side of the equation.
-29.4 + 29.4 + -4.4y = -47 + 29.4

Combine like terms: -29.4 + 29.4 = 0.0
0.0 + -4.4y = -47 + 29.4
-4.4y = -47 + 29.4

Combine like terms: -47 + 29.4 = -17.6
-4.4y = -17.6

Divide each side by '-4.4'.
y = 4

Simplifying
y = 4

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