7(2y+3)-3(2y+1)=50

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Solution for 7(2y+3)-3(2y+1)=50 equation:


Simplifying
7(2y + 3) + -3(2y + 1) = 50

Reorder the terms:
7(3 + 2y) + -3(2y + 1) = 50
(3 * 7 + 2y * 7) + -3(2y + 1) = 50
(21 + 14y) + -3(2y + 1) = 50

Reorder the terms:
21 + 14y + -3(1 + 2y) = 50
21 + 14y + (1 * -3 + 2y * -3) = 50
21 + 14y + (-3 + -6y) = 50

Reorder the terms:
21 + -3 + 14y + -6y = 50

Combine like terms: 21 + -3 = 18
18 + 14y + -6y = 50

Combine like terms: 14y + -6y = 8y
18 + 8y = 50

Solving
18 + 8y = 50

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + 8y = 50 + -18

Combine like terms: 18 + -18 = 0
0 + 8y = 50 + -18
8y = 50 + -18

Combine like terms: 50 + -18 = 32
8y = 32

Divide each side by '8'.
y = 4

Simplifying
y = 4

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