34+4.1y+4.7=2.1y-5.3

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Solution for 34+4.1y+4.7=2.1y-5.3 equation:


Simplifying
34 + 4.1y + 4.7 = 2.1y + -5.3

Reorder the terms:
34 + 4.7 + 4.1y = 2.1y + -5.3

Combine like terms: 34 + 4.7 = 38.7
38.7 + 4.1y = 2.1y + -5.3

Reorder the terms:
38.7 + 4.1y = -5.3 + 2.1y

Solving
38.7 + 4.1y = -5.3 + 2.1y

Solving for variable 'y'.

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

Add '-2.1y' to each side of the equation.
38.7 + 4.1y + -2.1y = -5.3 + 2.1y + -2.1y

Combine like terms: 4.1y + -2.1y = 2y
38.7 + 2y = -5.3 + 2.1y + -2.1y

Combine like terms: 2.1y + -2.1y = 0.0
38.7 + 2y = -5.3 + 0.0
38.7 + 2y = -5.3

Add '-38.7' to each side of the equation.
38.7 + -38.7 + 2y = -5.3 + -38.7

Combine like terms: 38.7 + -38.7 = 0.0
0.0 + 2y = -5.3 + -38.7
2y = -5.3 + -38.7

Combine like terms: -5.3 + -38.7 = -44
2y = -44

Divide each side by '2'.
y = -22

Simplifying
y = -22

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