3(y-2)+2(y-3)=-15

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


Simplifying
3(y + -2) + 2(y + -3) = -15

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

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

Reorder the terms:
-6 + -6 + 3y + 2y = -15

Combine like terms: -6 + -6 = -12
-12 + 3y + 2y = -15

Combine like terms: 3y + 2y = 5y
-12 + 5y = -15

Solving
-12 + 5y = -15

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 5y = -15 + 12

Combine like terms: -12 + 12 = 0
0 + 5y = -15 + 12
5y = -15 + 12

Combine like terms: -15 + 12 = -3
5y = -3

Divide each side by '5'.
y = -0.6

Simplifying
y = -0.6

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