4(5y+3)+14=2(6y+2)+5

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Solution for 4(5y+3)+14=2(6y+2)+5 equation:


Simplifying
4(5y + 3) + 14 = 2(6y + 2) + 5

Reorder the terms:
4(3 + 5y) + 14 = 2(6y + 2) + 5
(3 * 4 + 5y * 4) + 14 = 2(6y + 2) + 5
(12 + 20y) + 14 = 2(6y + 2) + 5

Reorder the terms:
12 + 14 + 20y = 2(6y + 2) + 5

Combine like terms: 12 + 14 = 26
26 + 20y = 2(6y + 2) + 5

Reorder the terms:
26 + 20y = 2(2 + 6y) + 5
26 + 20y = (2 * 2 + 6y * 2) + 5
26 + 20y = (4 + 12y) + 5

Reorder the terms:
26 + 20y = 4 + 5 + 12y

Combine like terms: 4 + 5 = 9
26 + 20y = 9 + 12y

Solving
26 + 20y = 9 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
26 + 20y + -12y = 9 + 12y + -12y

Combine like terms: 20y + -12y = 8y
26 + 8y = 9 + 12y + -12y

Combine like terms: 12y + -12y = 0
26 + 8y = 9 + 0
26 + 8y = 9

Add '-26' to each side of the equation.
26 + -26 + 8y = 9 + -26

Combine like terms: 26 + -26 = 0
0 + 8y = 9 + -26
8y = 9 + -26

Combine like terms: 9 + -26 = -17
8y = -17

Divide each side by '8'.
y = -2.125

Simplifying
y = -2.125

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