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Simplifying 2y + -38 = 4(y + -7) Reorder the terms: -38 + 2y = 4(y + -7) Reorder the terms: -38 + 2y = 4(-7 + y) -38 + 2y = (-7 * 4 + y * 4) -38 + 2y = (-28 + 4y) Solving -38 + 2y = -28 + 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. -38 + 2y + -4y = -28 + 4y + -4y Combine like terms: 2y + -4y = -2y -38 + -2y = -28 + 4y + -4y Combine like terms: 4y + -4y = 0 -38 + -2y = -28 + 0 -38 + -2y = -28 Add '38' to each side of the equation. -38 + 38 + -2y = -28 + 38 Combine like terms: -38 + 38 = 0 0 + -2y = -28 + 38 -2y = -28 + 38 Combine like terms: -28 + 38 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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