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Simplifying 4y + -19 = -3(y + 4) Reorder the terms: -19 + 4y = -3(y + 4) Reorder the terms: -19 + 4y = -3(4 + y) -19 + 4y = (4 * -3 + y * -3) -19 + 4y = (-12 + -3y) Solving -19 + 4y = -12 + -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. -19 + 4y + 3y = -12 + -3y + 3y Combine like terms: 4y + 3y = 7y -19 + 7y = -12 + -3y + 3y Combine like terms: -3y + 3y = 0 -19 + 7y = -12 + 0 -19 + 7y = -12 Add '19' to each side of the equation. -19 + 19 + 7y = -12 + 19 Combine like terms: -19 + 19 = 0 0 + 7y = -12 + 19 7y = -12 + 19 Combine like terms: -12 + 19 = 7 7y = 7 Divide each side by '7'. y = 1 Simplifying y = 1
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