30(y-10)+1=-2(y-8)

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Solution for 30(y-10)+1=-2(y-8) equation:


Simplifying
30(y + -10) + 1 = -2(y + -8)

Reorder the terms:
30(-10 + y) + 1 = -2(y + -8)
(-10 * 30 + y * 30) + 1 = -2(y + -8)
(-300 + 30y) + 1 = -2(y + -8)

Reorder the terms:
-300 + 1 + 30y = -2(y + -8)

Combine like terms: -300 + 1 = -299
-299 + 30y = -2(y + -8)

Reorder the terms:
-299 + 30y = -2(-8 + y)
-299 + 30y = (-8 * -2 + y * -2)
-299 + 30y = (16 + -2y)

Solving
-299 + 30y = 16 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-299 + 30y + 2y = 16 + -2y + 2y

Combine like terms: 30y + 2y = 32y
-299 + 32y = 16 + -2y + 2y

Combine like terms: -2y + 2y = 0
-299 + 32y = 16 + 0
-299 + 32y = 16

Add '299' to each side of the equation.
-299 + 299 + 32y = 16 + 299

Combine like terms: -299 + 299 = 0
0 + 32y = 16 + 299
32y = 16 + 299

Combine like terms: 16 + 299 = 315
32y = 315

Divide each side by '32'.
y = 9.84375

Simplifying
y = 9.84375

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