6y-5(y-3)+4=7

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Solution for 6y-5(y-3)+4=7 equation:


Simplifying
6y + -5(y + -3) + 4 = 7

Reorder the terms:
6y + -5(-3 + y) + 4 = 7
6y + (-3 * -5 + y * -5) + 4 = 7
6y + (15 + -5y) + 4 = 7

Reorder the terms:
15 + 4 + 6y + -5y = 7

Combine like terms: 15 + 4 = 19
19 + 6y + -5y = 7

Combine like terms: 6y + -5y = 1y
19 + 1y = 7

Solving
19 + 1y = 7

Solving for variable 'y'.

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

Add '-19' to each side of the equation.
19 + -19 + 1y = 7 + -19

Combine like terms: 19 + -19 = 0
0 + 1y = 7 + -19
1y = 7 + -19

Combine like terms: 7 + -19 = -12
1y = -12

Divide each side by '1'.
y = -12

Simplifying
y = -12

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