3(2y+5)-8y=1

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Solution for 3(2y+5)-8y=1 equation:


Simplifying
3(2y + 5) + -8y = 1

Reorder the terms:
3(5 + 2y) + -8y = 1
(5 * 3 + 2y * 3) + -8y = 1
(15 + 6y) + -8y = 1

Combine like terms: 6y + -8y = -2y
15 + -2y = 1

Solving
15 + -2y = 1

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + -2y = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -2y = 1 + -15
-2y = 1 + -15

Combine like terms: 1 + -15 = -14
-2y = -14

Divide each side by '-2'.
y = 7

Simplifying
y = 7

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