4(12y+12)-7=-6(6y-24)

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Solution for 4(12y+12)-7=-6(6y-24) equation:


Simplifying
4(12y + 12) + -7 = -6(6y + -24)

Reorder the terms:
4(12 + 12y) + -7 = -6(6y + -24)
(12 * 4 + 12y * 4) + -7 = -6(6y + -24)
(48 + 48y) + -7 = -6(6y + -24)

Reorder the terms:
48 + -7 + 48y = -6(6y + -24)

Combine like terms: 48 + -7 = 41
41 + 48y = -6(6y + -24)

Reorder the terms:
41 + 48y = -6(-24 + 6y)
41 + 48y = (-24 * -6 + 6y * -6)
41 + 48y = (144 + -36y)

Solving
41 + 48y = 144 + -36y

Solving for variable 'y'.

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

Add '36y' to each side of the equation.
41 + 48y + 36y = 144 + -36y + 36y

Combine like terms: 48y + 36y = 84y
41 + 84y = 144 + -36y + 36y

Combine like terms: -36y + 36y = 0
41 + 84y = 144 + 0
41 + 84y = 144

Add '-41' to each side of the equation.
41 + -41 + 84y = 144 + -41

Combine like terms: 41 + -41 = 0
0 + 84y = 144 + -41
84y = 144 + -41

Combine like terms: 144 + -41 = 103
84y = 103

Divide each side by '84'.
y = 1.226190476

Simplifying
y = 1.226190476

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