4(2y-3)+5(3y+1)=99

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Solution for 4(2y-3)+5(3y+1)=99 equation:


Simplifying
4(2y + -3) + 5(3y + 1) = 99

Reorder the terms:
4(-3 + 2y) + 5(3y + 1) = 99
(-3 * 4 + 2y * 4) + 5(3y + 1) = 99
(-12 + 8y) + 5(3y + 1) = 99

Reorder the terms:
-12 + 8y + 5(1 + 3y) = 99
-12 + 8y + (1 * 5 + 3y * 5) = 99
-12 + 8y + (5 + 15y) = 99

Reorder the terms:
-12 + 5 + 8y + 15y = 99

Combine like terms: -12 + 5 = -7
-7 + 8y + 15y = 99

Combine like terms: 8y + 15y = 23y
-7 + 23y = 99

Solving
-7 + 23y = 99

Solving for variable 'y'.

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

Add '7' to each side of the equation.
-7 + 7 + 23y = 99 + 7

Combine like terms: -7 + 7 = 0
0 + 23y = 99 + 7
23y = 99 + 7

Combine like terms: 99 + 7 = 106
23y = 106

Divide each side by '23'.
y = 4.608695652

Simplifying
y = 4.608695652

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