6y=7(1.5+0.5y)-18

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Solution for 6y=7(1.5+0.5y)-18 equation:


Simplifying
6y = 7(1.5 + 0.5y) + -18
6y = (1.5 * 7 + 0.5y * 7) + -18
6y = (10.5 + 3.5y) + -18

Reorder the terms:
6y = 10.5 + -18 + 3.5y

Combine like terms: 10.5 + -18 = -7.5
6y = -7.5 + 3.5y

Solving
6y = -7.5 + 3.5y

Solving for variable 'y'.

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

Add '-3.5y' to each side of the equation.
6y + -3.5y = -7.5 + 3.5y + -3.5y

Combine like terms: 6y + -3.5y = 2.5y
2.5y = -7.5 + 3.5y + -3.5y

Combine like terms: 3.5y + -3.5y = 0.0
2.5y = -7.5 + 0.0
2.5y = -7.5

Divide each side by '2.5'.
y = -3

Simplifying
y = -3

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