3(4y+5)-7y=10

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Solution for 3(4y+5)-7y=10 equation:


Simplifying
3(4y + 5) + -7y = 10

Reorder the terms:
3(5 + 4y) + -7y = 10
(5 * 3 + 4y * 3) + -7y = 10
(15 + 12y) + -7y = 10

Combine like terms: 12y + -7y = 5y
15 + 5y = 10

Solving
15 + 5y = 10

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 + 5y = 10 + -15

Combine like terms: 15 + -15 = 0
0 + 5y = 10 + -15
5y = 10 + -15

Combine like terms: 10 + -15 = -5
5y = -5

Divide each side by '5'.
y = -1

Simplifying
y = -1

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