16(8y+3)=-8(6y-14)

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Solution for 16(8y+3)=-8(6y-14) equation:


Simplifying
16(8y + 3) = -8(6y + -14)

Reorder the terms:
16(3 + 8y) = -8(6y + -14)
(3 * 16 + 8y * 16) = -8(6y + -14)
(48 + 128y) = -8(6y + -14)

Reorder the terms:
48 + 128y = -8(-14 + 6y)
48 + 128y = (-14 * -8 + 6y * -8)
48 + 128y = (112 + -48y)

Solving
48 + 128y = 112 + -48y

Solving for variable 'y'.

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

Add '48y' to each side of the equation.
48 + 128y + 48y = 112 + -48y + 48y

Combine like terms: 128y + 48y = 176y
48 + 176y = 112 + -48y + 48y

Combine like terms: -48y + 48y = 0
48 + 176y = 112 + 0
48 + 176y = 112

Add '-48' to each side of the equation.
48 + -48 + 176y = 112 + -48

Combine like terms: 48 + -48 = 0
0 + 176y = 112 + -48
176y = 112 + -48

Combine like terms: 112 + -48 = 64
176y = 64

Divide each side by '176'.
y = 0.3636363636

Simplifying
y = 0.3636363636

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