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Simplifying 6(y + -4) + -4(5y + 1) = 4 + 3(y + -7) Reorder the terms: 6(-4 + y) + -4(5y + 1) = 4 + 3(y + -7) (-4 * 6 + y * 6) + -4(5y + 1) = 4 + 3(y + -7) (-24 + 6y) + -4(5y + 1) = 4 + 3(y + -7) Reorder the terms: -24 + 6y + -4(1 + 5y) = 4 + 3(y + -7) -24 + 6y + (1 * -4 + 5y * -4) = 4 + 3(y + -7) -24 + 6y + (-4 + -20y) = 4 + 3(y + -7) Reorder the terms: -24 + -4 + 6y + -20y = 4 + 3(y + -7) Combine like terms: -24 + -4 = -28 -28 + 6y + -20y = 4 + 3(y + -7) Combine like terms: 6y + -20y = -14y -28 + -14y = 4 + 3(y + -7) Reorder the terms: -28 + -14y = 4 + 3(-7 + y) -28 + -14y = 4 + (-7 * 3 + y * 3) -28 + -14y = 4 + (-21 + 3y) Combine like terms: 4 + -21 = -17 -28 + -14y = -17 + 3y Solving -28 + -14y = -17 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -28 + -14y + -3y = -17 + 3y + -3y Combine like terms: -14y + -3y = -17y -28 + -17y = -17 + 3y + -3y Combine like terms: 3y + -3y = 0 -28 + -17y = -17 + 0 -28 + -17y = -17 Add '28' to each side of the equation. -28 + 28 + -17y = -17 + 28 Combine like terms: -28 + 28 = 0 0 + -17y = -17 + 28 -17y = -17 + 28 Combine like terms: -17 + 28 = 11 -17y = 11 Divide each side by '-17'. y = -0.6470588235 Simplifying y = -0.6470588235
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