6(5-3y)=4(35+3y)

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Solution for 6(5-3y)=4(35+3y) equation:


Simplifying
6(5 + -3y) = 4(35 + 3y)
(5 * 6 + -3y * 6) = 4(35 + 3y)
(30 + -18y) = 4(35 + 3y)
30 + -18y = (35 * 4 + 3y * 4)
30 + -18y = (140 + 12y)

Solving
30 + -18y = 140 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
30 + -18y + -12y = 140 + 12y + -12y

Combine like terms: -18y + -12y = -30y
30 + -30y = 140 + 12y + -12y

Combine like terms: 12y + -12y = 0
30 + -30y = 140 + 0
30 + -30y = 140

Add '-30' to each side of the equation.
30 + -30 + -30y = 140 + -30

Combine like terms: 30 + -30 = 0
0 + -30y = 140 + -30
-30y = 140 + -30

Combine like terms: 140 + -30 = 110
-30y = 110

Divide each side by '-30'.
y = -3.666666667

Simplifying
y = -3.666666667

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