6(y-3)2-(y-3)-15=0

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Solution for 6(y-3)2-(y-3)-15=0 equation:


Simplifying
6(y + -3) * 2 + -1(y + -3) + -15 = 0

Reorder the terms:
6(-3 + y) * 2 + -1(y + -3) + -15 = 0

Reorder the terms for easier multiplication:
6 * 2(-3 + y) + -1(y + -3) + -15 = 0

Multiply 6 * 2
12(-3 + y) + -1(y + -3) + -15 = 0
(-3 * 12 + y * 12) + -1(y + -3) + -15 = 0
(-36 + 12y) + -1(y + -3) + -15 = 0

Reorder the terms:
-36 + 12y + -1(-3 + y) + -15 = 0
-36 + 12y + (-3 * -1 + y * -1) + -15 = 0
-36 + 12y + (3 + -1y) + -15 = 0

Reorder the terms:
-36 + 3 + -15 + 12y + -1y = 0

Combine like terms: -36 + 3 = -33
-33 + -15 + 12y + -1y = 0

Combine like terms: -33 + -15 = -48
-48 + 12y + -1y = 0

Combine like terms: 12y + -1y = 11y
-48 + 11y = 0

Solving
-48 + 11y = 0

Solving for variable 'y'.

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

Add '48' to each side of the equation.
-48 + 48 + 11y = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 11y = 0 + 48
11y = 0 + 48

Combine like terms: 0 + 48 = 48
11y = 48

Divide each side by '11'.
y = 4.363636364

Simplifying
y = 4.363636364

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