3y-3-4y+5=10y-2-7

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Solution for 3y-3-4y+5=10y-2-7 equation:


Simplifying
3y + -3 + -4y + 5 = 10y + -2 + -7

Reorder the terms:
-3 + 5 + 3y + -4y = 10y + -2 + -7

Combine like terms: -3 + 5 = 2
2 + 3y + -4y = 10y + -2 + -7

Combine like terms: 3y + -4y = -1y
2 + -1y = 10y + -2 + -7

Reorder the terms:
2 + -1y = -2 + -7 + 10y

Combine like terms: -2 + -7 = -9
2 + -1y = -9 + 10y

Solving
2 + -1y = -9 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
2 + -1y + -10y = -9 + 10y + -10y

Combine like terms: -1y + -10y = -11y
2 + -11y = -9 + 10y + -10y

Combine like terms: 10y + -10y = 0
2 + -11y = -9 + 0
2 + -11y = -9

Add '-2' to each side of the equation.
2 + -2 + -11y = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -11y = -9 + -2
-11y = -9 + -2

Combine like terms: -9 + -2 = -11
-11y = -11

Divide each side by '-11'.
y = 1

Simplifying
y = 1

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