-(-16y-28)+19y-(23y-38)=-(14y-33)

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Solution for -(-16y-28)+19y-(23y-38)=-(14y-33) equation:


Simplifying
-1(-16y + -28) + 19y + -1(23y + -38) = -1(14y + -33)

Reorder the terms:
-1(-28 + -16y) + 19y + -1(23y + -38) = -1(14y + -33)
(-28 * -1 + -16y * -1) + 19y + -1(23y + -38) = -1(14y + -33)
(28 + 16y) + 19y + -1(23y + -38) = -1(14y + -33)

Reorder the terms:
28 + 16y + 19y + -1(-38 + 23y) = -1(14y + -33)
28 + 16y + 19y + (-38 * -1 + 23y * -1) = -1(14y + -33)
28 + 16y + 19y + (38 + -23y) = -1(14y + -33)

Reorder the terms:
28 + 38 + 16y + 19y + -23y = -1(14y + -33)

Combine like terms: 28 + 38 = 66
66 + 16y + 19y + -23y = -1(14y + -33)

Combine like terms: 16y + 19y = 35y
66 + 35y + -23y = -1(14y + -33)

Combine like terms: 35y + -23y = 12y
66 + 12y = -1(14y + -33)

Reorder the terms:
66 + 12y = -1(-33 + 14y)
66 + 12y = (-33 * -1 + 14y * -1)
66 + 12y = (33 + -14y)

Solving
66 + 12y = 33 + -14y

Solving for variable 'y'.

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

Add '14y' to each side of the equation.
66 + 12y + 14y = 33 + -14y + 14y

Combine like terms: 12y + 14y = 26y
66 + 26y = 33 + -14y + 14y

Combine like terms: -14y + 14y = 0
66 + 26y = 33 + 0
66 + 26y = 33

Add '-66' to each side of the equation.
66 + -66 + 26y = 33 + -66

Combine like terms: 66 + -66 = 0
0 + 26y = 33 + -66
26y = 33 + -66

Combine like terms: 33 + -66 = -33
26y = -33

Divide each side by '26'.
y = -1.269230769

Simplifying
y = -1.269230769

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