2.3(y-1)=1.4(y-10)

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Solution for 2.3(y-1)=1.4(y-10) equation:


Simplifying
2.3(y + -1) = 1.4(y + -10)

Reorder the terms:
2.3(-1 + y) = 1.4(y + -10)
(-1 * 2.3 + y * 2.3) = 1.4(y + -10)
(-2.3 + 2.3y) = 1.4(y + -10)

Reorder the terms:
-2.3 + 2.3y = 1.4(-10 + y)
-2.3 + 2.3y = (-10 * 1.4 + y * 1.4)
-2.3 + 2.3y = (-14 + 1.4y)

Solving
-2.3 + 2.3y = -14 + 1.4y

Solving for variable 'y'.

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

Add '-1.4y' to each side of the equation.
-2.3 + 2.3y + -1.4y = -14 + 1.4y + -1.4y

Combine like terms: 2.3y + -1.4y = 0.9y
-2.3 + 0.9y = -14 + 1.4y + -1.4y

Combine like terms: 1.4y + -1.4y = 0.0
-2.3 + 0.9y = -14 + 0.0
-2.3 + 0.9y = -14

Add '2.3' to each side of the equation.
-2.3 + 2.3 + 0.9y = -14 + 2.3

Combine like terms: -2.3 + 2.3 = 0.0
0.0 + 0.9y = -14 + 2.3
0.9y = -14 + 2.3

Combine like terms: -14 + 2.3 = -11.7
0.9y = -11.7

Divide each side by '0.9'.
y = -13

Simplifying
y = -13

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