4(7y+14)-7=7(8y-16)

Simple and best practice solution for 4(7y+14)-7=7(8y-16) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4(7y+14)-7=7(8y-16) equation:


Simplifying
4(7y + 14) + -7 = 7(8y + -16)

Reorder the terms:
4(14 + 7y) + -7 = 7(8y + -16)
(14 * 4 + 7y * 4) + -7 = 7(8y + -16)
(56 + 28y) + -7 = 7(8y + -16)

Reorder the terms:
56 + -7 + 28y = 7(8y + -16)

Combine like terms: 56 + -7 = 49
49 + 28y = 7(8y + -16)

Reorder the terms:
49 + 28y = 7(-16 + 8y)
49 + 28y = (-16 * 7 + 8y * 7)
49 + 28y = (-112 + 56y)

Solving
49 + 28y = -112 + 56y

Solving for variable 'y'.

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

Add '-56y' to each side of the equation.
49 + 28y + -56y = -112 + 56y + -56y

Combine like terms: 28y + -56y = -28y
49 + -28y = -112 + 56y + -56y

Combine like terms: 56y + -56y = 0
49 + -28y = -112 + 0
49 + -28y = -112

Add '-49' to each side of the equation.
49 + -49 + -28y = -112 + -49

Combine like terms: 49 + -49 = 0
0 + -28y = -112 + -49
-28y = -112 + -49

Combine like terms: -112 + -49 = -161
-28y = -161

Divide each side by '-28'.
y = 5.75

Simplifying
y = 5.75

See similar equations:

| y=x^2-16x+61 | | 2a(a-2)=0 | | 3r+6+9r=24 | | 4x^2-56=0 | | 5x-=2x | | y=2x^2+16+36 | | 2a^2-4a=0 | | 31.4=3.14r^2 | | 14.9=7b-7.9 | | 3p+7=34 | | 2+-17=-11+8t | | 6+2y=4 | | 6(x+3) | | 198p+343 | | a+(a-3)=(a-4)-(a+1) | | x^2+3(3x-4)-2x(6+2x)=0 | | 20=3.1-5.1b | | 6x-x+12=10x+7 | | 3t^2+5t=0 | | 11=-4.9-y | | 3c^2-17c-6= | | 2(3+3x)-2=16 | | 4x^2+9-12x=0 | | -5+6x+2x=43 | | 4x2+9-12x=0 | | 7x+20=6x+23 | | 7(2p+1)=44.5-p | | 8x-11=21+4x | | -x+14=6x-7 | | 3(2x+5)=2x+5 | | 9x+11=-7x-5 | | 49=10p+-3p |

Equations solver categories