3(y+3)-4(2y-7)=5y+2

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Solution for 3(y+3)-4(2y-7)=5y+2 equation: 


Simplifying
3(y + 3) + -4(2y + -7) = 5y + 2

Reorder the terms:
3(3 + y) + -4(2y + -7) = 5y + 2
(3 * 3 + y * 3) + -4(2y + -7) = 5y + 2
(9 + 3y) + -4(2y + -7) = 5y + 2

Reorder the terms:
9 + 3y + -4(-7 + 2y) = 5y + 2
9 + 3y + (-7 * -4 + 2y * -4) = 5y + 2
9 + 3y + (28 + -8y) = 5y + 2

Reorder the terms:
9 + 28 + 3y + -8y = 5y + 2

Combine like terms: 9 + 28 = 37
37 + 3y + -8y = 5y + 2

Combine like terms: 3y + -8y = -5y
37 + -5y = 5y + 2

Reorder the terms:
37 + -5y = 2 + 5y

Solving
37 + -5y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
37 + -5y + -5y = 2 + 5y + -5y

Combine like terms: -5y + -5y = -10y
37 + -10y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
37 + -10y = 2 + 0
37 + -10y = 2

Add '-37' to each side of the equation.
37 + -37 + -10y = 2 + -37

Combine like terms: 37 + -37 = 0
0 + -10y = 2 + -37
-10y = 2 + -37

Combine like terms: 2 + -37 = -35
-10y = -35

Divide each side by '-10'.
y = 3.5

Simplifying
y = 3.5

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