2y+3=4(1-y)+5

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Solution for 2y+3=4(1-y)+5 equation:


Simplifying
2y + 3 = 4(1 + -1y) + 5

Reorder the terms:
3 + 2y = 4(1 + -1y) + 5
3 + 2y = (1 * 4 + -1y * 4) + 5
3 + 2y = (4 + -4y) + 5

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

Combine like terms: 4 + 5 = 9
3 + 2y = 9 + -4y

Solving
3 + 2y = 9 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
3 + 2y + 4y = 9 + -4y + 4y

Combine like terms: 2y + 4y = 6y
3 + 6y = 9 + -4y + 4y

Combine like terms: -4y + 4y = 0
3 + 6y = 9 + 0
3 + 6y = 9

Add '-3' to each side of the equation.
3 + -3 + 6y = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 6y = 9 + -3
6y = 9 + -3

Combine like terms: 9 + -3 = 6
6y = 6

Divide each side by '6'.
y = 1

Simplifying
y = 1

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