6(2y+5)-4(y-3)=7

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Solution for 6(2y+5)-4(y-3)=7 equation: 


Simplifying
6(2y + 5) + -4(y + -3) = 7

Reorder the terms:
6(5 + 2y) + -4(y + -3) = 7
(5 * 6 + 2y * 6) + -4(y + -3) = 7
(30 + 12y) + -4(y + -3) = 7

Reorder the terms:
30 + 12y + -4(-3 + y) = 7
30 + 12y + (-3 * -4 + y * -4) = 7
30 + 12y + (12 + -4y) = 7

Reorder the terms:
30 + 12 + 12y + -4y = 7

Combine like terms: 30 + 12 = 42
42 + 12y + -4y = 7

Combine like terms: 12y + -4y = 8y
42 + 8y = 7

Solving
42 + 8y = 7

Solving for variable 'y'.

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

Add '-42' to each side of the equation.
42 + -42 + 8y = 7 + -42

Combine like terms: 42 + -42 = 0
0 + 8y = 7 + -42
8y = 7 + -42

Combine like terms: 7 + -42 = -35
8y = -35

Divide each side by '8'.
y = -4.375

Simplifying
y = -4.375

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