5(1.8+1.4y)-7(-1.8+1.4y)=6

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Solution for 5(1.8+1.4y)-7(-1.8+1.4y)=6 equation:


Simplifying
5(1.8 + 1.4y) + -7(-1.8 + 1.4y) = 6
(1.8 * 5 + 1.4y * 5) + -7(-1.8 + 1.4y) = 6
(9 + 7y) + -7(-1.8 + 1.4y) = 6
9 + 7y + (-1.8 * -7 + 1.4y * -7) = 6
9 + 7y + (12.6 + -9.8y) = 6

Reorder the terms:
9 + 12.6 + 7y + -9.8y = 6

Combine like terms: 9 + 12.6 = 21.6
21.6 + 7y + -9.8y = 6

Combine like terms: 7y + -9.8y = -2.8y
21.6 + -2.8y = 6

Solving
21.6 + -2.8y = 6

Solving for variable 'y'.

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

Add '-21.6' to each side of the equation.
21.6 + -21.6 + -2.8y = 6 + -21.6

Combine like terms: 21.6 + -21.6 = 0.0
0.0 + -2.8y = 6 + -21.6
-2.8y = 6 + -21.6

Combine like terms: 6 + -21.6 = -15.6
-2.8y = -15.6

Divide each side by '-2.8'.
y = 5.571428571

Simplifying
y = 5.571428571

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