5(2y+5)-8=6(5y-4)+17

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Solution for 5(2y+5)-8=6(5y-4)+17 equation: 


Simplifying
5(2y + 5) + -8 = 6(5y + -4) + 17

Reorder the terms:
5(5 + 2y) + -8 = 6(5y + -4) + 17
(5 * 5 + 2y * 5) + -8 = 6(5y + -4) + 17
(25 + 10y) + -8 = 6(5y + -4) + 17

Reorder the terms:
25 + -8 + 10y = 6(5y + -4) + 17

Combine like terms: 25 + -8 = 17
17 + 10y = 6(5y + -4) + 17

Reorder the terms:
17 + 10y = 6(-4 + 5y) + 17
17 + 10y = (-4 * 6 + 5y * 6) + 17
17 + 10y = (-24 + 30y) + 17

Reorder the terms:
17 + 10y = -24 + 17 + 30y

Combine like terms: -24 + 17 = -7
17 + 10y = -7 + 30y

Solving
17 + 10y = -7 + 30y

Solving for variable 'y'.

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

Add '-30y' to each side of the equation.
17 + 10y + -30y = -7 + 30y + -30y

Combine like terms: 10y + -30y = -20y
17 + -20y = -7 + 30y + -30y

Combine like terms: 30y + -30y = 0
17 + -20y = -7 + 0
17 + -20y = -7

Add '-17' to each side of the equation.
17 + -17 + -20y = -7 + -17

Combine like terms: 17 + -17 = 0
0 + -20y = -7 + -17
-20y = -7 + -17

Combine like terms: -7 + -17 = -24
-20y = -24

Divide each side by '-20'.
y = 1.2

Simplifying
y = 1.2

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