6(5-3y)=4(25+2y)

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Solution for 6(5-3y)=4(25+2y) equation: 


Simplifying
6(5 + -3y) = 4(25 + 2y)
(5 * 6 + -3y * 6) = 4(25 + 2y)
(30 + -18y) = 4(25 + 2y)
30 + -18y = (25 * 4 + 2y * 4)
30 + -18y = (100 + 8y)

Solving
30 + -18y = 100 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
30 + -18y + -8y = 100 + 8y + -8y

Combine like terms: -18y + -8y = -26y
30 + -26y = 100 + 8y + -8y

Combine like terms: 8y + -8y = 0
30 + -26y = 100 + 0
30 + -26y = 100

Add '-30' to each side of the equation.
30 + -30 + -26y = 100 + -30

Combine like terms: 30 + -30 = 0
0 + -26y = 100 + -30
-26y = 100 + -30

Combine like terms: 100 + -30 = 70
-26y = 70

Divide each side by '-26'.
y = -2.692307692

Simplifying
y = -2.692307692

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