1.5y-5.6=3(5y+7)

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Solution for 1.5y-5.6=3(5y+7) equation:


Simplifying
1.5y + -5.6 = 3(5y + 7)

Reorder the terms:
-5.6 + 1.5y = 3(5y + 7)

Reorder the terms:
-5.6 + 1.5y = 3(7 + 5y)
-5.6 + 1.5y = (7 * 3 + 5y * 3)
-5.6 + 1.5y = (21 + 15y)

Solving
-5.6 + 1.5y = 21 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-5.6 + 1.5y + -15y = 21 + 15y + -15y

Combine like terms: 1.5y + -15y = -13.5y
-5.6 + -13.5y = 21 + 15y + -15y

Combine like terms: 15y + -15y = 0
-5.6 + -13.5y = 21 + 0
-5.6 + -13.5y = 21

Add '5.6' to each side of the equation.
-5.6 + 5.6 + -13.5y = 21 + 5.6

Combine like terms: -5.6 + 5.6 = 0.0
0.0 + -13.5y = 21 + 5.6
-13.5y = 21 + 5.6

Combine like terms: 21 + 5.6 = 26.6
-13.5y = 26.6

Divide each side by '-13.5'.
y = -1.97037037

Simplifying
y = -1.97037037

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