5y+2=3(7y-6)

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Solution for 5y+2=3(7y-6) equation: 


Simplifying
5y + 2 = 3(7y + -6)

Reorder the terms:
2 + 5y = 3(7y + -6)

Reorder the terms:
2 + 5y = 3(-6 + 7y)
2 + 5y = (-6 * 3 + 7y * 3)
2 + 5y = (-18 + 21y)

Solving
2 + 5y = -18 + 21y

Solving for variable 'y'.

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

Add '-21y' to each side of the equation.
2 + 5y + -21y = -18 + 21y + -21y

Combine like terms: 5y + -21y = -16y
2 + -16y = -18 + 21y + -21y

Combine like terms: 21y + -21y = 0
2 + -16y = -18 + 0
2 + -16y = -18

Add '-2' to each side of the equation.
2 + -2 + -16y = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -16y = -18 + -2
-16y = -18 + -2

Combine like terms: -18 + -2 = -20
-16y = -20

Divide each side by '-16'.
y = 1.25

Simplifying
y = 1.25

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