4y+10=5y+7

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Solution for 4y+10=5y+7 equation:


Simplifying
4y + 10 = 5y + 7

Reorder the terms:
10 + 4y = 5y + 7

Reorder the terms:
10 + 4y = 7 + 5y

Solving
10 + 4y = 7 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
10 + 4y + -5y = 7 + 5y + -5y

Combine like terms: 4y + -5y = -1y
10 + -1y = 7 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + -1y = 7 + 0
10 + -1y = 7

Add '-10' to each side of the equation.
10 + -10 + -1y = 7 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 7 + -10
-1y = 7 + -10

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

Divide each side by '-1'.
y = 3

Simplifying
y = 3

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